Search a number
-
+
149270832 = 243241131193
BaseRepresentation
bin10001110010110…
…11000100110000
3101101212202002100
420321123010300
5301203131312
622451220400
73461531634
oct1071330460
9341782070
10149270832
1177294427
1241ba7700
1324c05049
1415b78dc4
15d1885dc
hex8e5b130

149270832 has 120 divisors (see below), whose sum is σ = 433441008. Its totient is φ = 47923200.

The previous prime is 149270831. The next prime is 149270833. The reversal of 149270832 is 238072941.

It is an interprime number because it is at equal distance from previous prime (149270831) and next prime (149270833).

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

It is not an unprimeable number, because it can be changed into a prime (149270831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 773328 + ... + 773520.

Almost surely, 2149270832 is an apocalyptic number.

149270832 is a gapful number since it is divisible by the number (12) 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 149270832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216720504).

149270832 is an abundant number, since it is smaller than the sum of its proper divisors (284170176).

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

149270832 is a wasteful number, since it uses less digits than its factorization.

149270832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149270832 is about 12217.6442901240. The cubic root of 149270832 is about 530.4669339442.

The spelling of 149270832 in words is "one hundred forty-nine million, two hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 131 144 164 193 246 262 328 369 386 393 492 524 579 656 738 772 786 984 1048 1158 1179 1476 1544 1572 1737 1968 2096 2316 2358 2952 3088 3144 3474 4632 4716 5371 5904 6288 6948 7913 9264 9432 10742 13896 15826 16113 18864 21484 23739 25283 27792 31652 32226 42968 47478 48339 50566 63304 64452 71217 75849 85936 94956 96678 101132 126608 128904 142434 151698 189912 193356 202264 227547 257808 284868 303396 379824 386712 404528 455094 569736 606792 773424 910188 1036603 1139472 1213584 1820376 2073206 3109809 3640752 4146412 6219618 8292824 9329427 12439236 16585648 18658854 24878472 37317708 49756944 74635416 149270832