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149394520 = 235112631291
BaseRepresentation
bin10001110011110…
…01010001011000
3101102010000202101
420321321101120
5301221111040
622454013144
73462555352
oct1071712130
9342100671
10149394520
1177369350
12420471b4
1324c49432
1415bac0d2
15d1b009a
hex8e79458

149394520 has 64 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 54076800.

The previous prime is 149394481. The next prime is 149394563. The reversal of 149394520 is 25493941.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 149394520.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 115075 + ... + 116365.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2149394520 is an apocalyptic number.

149394520 is a gapful number since it is divisible by the number (10) 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 149394520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

149394520 is an abundant number, since it is smaller than the sum of its proper divisors (218980520).

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

149394520 is a wasteful number, since it uses less digits than its factorization.

149394520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 149394520 is about 12222.7051015722. The cubic root of 149394520 is about 530.6134110537.

The spelling of 149394520 in words is "one hundred forty-nine million, three hundred ninety-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1052 1291 1315 2104 2582 2630 2893 5164 5260 5786 6455 10328 10520 11572 12910 14201 14465 23144 25820 28402 28930 51640 56804 57860 71005 113608 115720 142010 284020 339533 568040 679066 1358132 1697665 2716264 3395330 3734863 6790660 7469726 13581320 14939452 18674315 29878904 37348630 74697260 149394520