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149068320 = 2535310559
BaseRepresentation
bin10001110001010…
…01101000100000
3101101111110021220
420320221220200
5301130141240
622443015040
73460026342
oct1070515040
9341443256
10149068320
1177166265
1241b0a480
1324b63b0b
1415b25292
15d1485d0
hex8e29a20

149068320 has 48 divisors (see below), whose sum is σ = 469566720. Its totient is φ = 39751424.

The previous prime is 149068303. The next prime is 149068321. The reversal of 149068320 is 23860941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149068321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154800 + ... + 155759.

It is an arithmetic number, because the mean of its divisors is an integer number (9782640).

Almost surely, 2149068320 is an apocalyptic number.

149068320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149068320 is an abundant number, since it is smaller than the sum of its proper divisors (320498400).

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

149068320 is a wasteful number, since it uses less digits than its factorization.

149068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310577 (or 310569 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 149068320 is about 12209.3537912537. The cubic root of 149068320 is about 530.2269349758.

The spelling of 149068320 in words is "one hundred forty-nine million, sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 310559 621118 931677 1242236 1552795 1863354 2484472 3105590 3726708 4658385 4968944 6211180 7453416 9316770 9937888 12422360 14906832 18633540 24844720 29813664 37267080 49689440 74534160 149068320