Search a number
-
+
2153678490 = 233517607773
BaseRepresentation
bin1000000001011110…
…1000011010011010
312120002112012111000
42000113220122122
513402320202430
6553412445430
7104240652015
oct20027503232
95502465430
102153678490
11a05771587
12501319876
13284263692
1416606037c
15c911be60
hex805e869a

2153678490 has 128 divisors (see below), whose sum is σ = 6098872320. Its totient is φ = 538942464.

The previous prime is 2153678489. The next prime is 2153678503. The reversal of 2153678490 is 948763512.

2153678490 is a `hidden beast` number, since 2 + 1 + 536 + 78 + 49 + 0 = 666.

2153678490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2153678490 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785744 + ... + 2786516.

It is an arithmetic number, because the mean of its divisors is an integer number (47647440).

It is a 1-persistent number, because it is pandigital, but 2⋅2153678490 = 4307356980 is not.

Almost surely, 22153678490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153678490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049436160).

2153678490 is an abundant number, since it is smaller than the sum of its proper divisors (3945193830).

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

2153678490 is a wasteful number, since it uses less digits than its factorization.

2153678490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2153678490 is about 46407.7417032977. The cubic root of 2153678490 is about 1291.3985373286.

The spelling of 2153678490 in words is "two billion, one hundred fifty-three million, six hundred seventy-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 607 765 773 918 1214 1530 1546 1821 2295 2319 3035 3642 3865 4590 4638 5463 6070 6957 7730 9105 10319 10926 11595 13141 13914 16389 18210 20638 20871 23190 26282 27315 30957 32778 34785 39423 41742 51595 54630 61914 65705 69570 78846 81945 92871 103190 104355 118269 131410 154785 163890 185742 197115 208710 236538 278613 309570 354807 394230 464355 469211 557226 591345 709614 928710 938422 1182690 1393065 1407633 1774035 2346055 2786130 2815266 3548070 4222899 4692110 7038165 7976587 8445798 12668697 14076330 15953174 21114495 23929761 25337394 39882935 42228990 47859522 63343485 71789283 79765870 119648805 126686970 143578566 215367849 239297610 358946415 430735698 717892830 1076839245 2153678490