Search a number
-
+
2150407584 = 2532135310837
BaseRepresentation
bin1000000000101100…
…1001110110100000
312112212101000122100
42000023021312200
513401001020314
6553214410400
7104201106603
oct20013116640
95485330570
102150407584
11a03938056
12500200a00
13283689930
1416584c33a
15c8bc2c09
hex802c9da0

2150407584 has 144 divisors (see below), whose sum is σ = 6710499432. Its totient is φ = 649119744.

The previous prime is 2150407579. The next prime is 2150407603. The reversal of 2150407584 is 4857040512.

2150407584 is a `hidden beast` number, since 2 + 1 + 504 + 0 + 75 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1411655184 + 738752400 = 37572^2 + 27180^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193014 + ... + 203850.

Almost surely, 22150407584 is an apocalyptic number.

2150407584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150407584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355249716).

2150407584 is an abundant number, since it is smaller than the sum of its proper divisors (4560091848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2150407584 is a wasteful number, since it uses less digits than its factorization.

2150407584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10919 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2150407584 is about 46372.4873605029. The cubic root of 2150407584 is about 1290.7444342091.

The spelling of 2150407584 in words is "two billion, one hundred fifty million, four hundred seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 848 936 954 1248 1272 1378 1696 1872 1908 2067 2544 2756 3744 3816 4134 5088 5512 6201 7632 8268 10837 11024 12402 15264 16536 21674 22048 24804 32511 33072 43348 49608 65022 66144 86696 97533 99216 130044 140881 173392 195066 198432 260088 281762 346784 390132 422643 520176 563524 574361 780264 845286 1040352 1127048 1148722 1267929 1560528 1690572 1723083 2254096 2297444 2535858 3121056 3381144 3446166 4508192 4594888 5071716 5169249 6762288 6892332 7466693 9189776 10143432 10338498 13524576 13784664 14933386 18379552 20286864 20676996 22400079 27569328 29866772 40573728 41353992 44800158 55138656 59733544 67200237 82707984 89600316 119467088 134400474 165415968 179200632 238934176 268800948 358401264 537601896 716802528 1075203792 2150407584