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149740560 = 24325207973
BaseRepresentation
bin10001110110011…
…01110000010000
3101102202121102200
420323031300100
5301313144220
622505243200
73465526254
oct1073156020
9342677380
10149740560
1177585332
1242193500
132503aaa8
1415c5c264
15d22c890
hex8ecdc10

149740560 has 60 divisors (see below), whose sum is σ = 502881132. Its totient is φ = 39930624.

The previous prime is 149740559. The next prime is 149740567. The reversal of 149740560 is 65047941.

149740560 is a `hidden beast` number, since 1 + 4 + 97 + 4 + 0 + 560 = 666.

149740560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 68956416 = 8988^2 + 8304^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1497405602 = 44844470618227200, which contains 22 as substring.

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 (149740567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103267 + ... + 104706.

Almost surely, 2149740560 is an apocalyptic number.

149740560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149740560 is an abundant number, since it is smaller than the sum of its proper divisors (353140572).

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

149740560 is a wasteful number, since it uses less digits than its factorization.

149740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207992 (or 207983 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149740560 is about 12236.8525364981. The cubic root of 149740560 is about 531.0227787690.

The spelling of 149740560 in words is "one hundred forty-nine million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 207973 415946 623919 831892 1039865 1247838 1663784 1871757 2079730 2495676 3119595 3327568 3743514 4159460 4991352 6239190 7487028 8318920 9358785 9982704 12478380 14974056 16637840 18717570 24956760 29948112 37435140 49913520 74870280 149740560