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153661540 = 2257683077
BaseRepresentation
bin10010010100010…
…11000001100100
3101201010211000011
421022023001210
5303314132130
623125300004
73544046554
oct1112130144
9351124004
10153661540
117981320a
1243564604
1325ab16b6
141659d164
15d75452a
hex928b064

153661540 has 12 divisors (see below), whose sum is σ = 322689276. Its totient is φ = 61464608.

The previous prime is 153661511. The next prime is 153661549. The reversal of 153661540 is 45166351.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 121308196 = 5688^2 + 11014^2 .

It is a super-2 number, since 2×1536615402 = 47223737750343200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153661549) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3841519 + ... + 3841558.

It is an arithmetic number, because the mean of its divisors is an integer number (26890773).

Almost surely, 2153661540 is an apocalyptic number.

153661540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153661540 is an abundant number, since it is smaller than the sum of its proper divisors (169027736).

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

153661540 is a wasteful number, since it uses less digits than its factorization.

153661540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683086 (or 7683084 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 153661540 is about 12396.0292029343. The cubic root of 153661540 is about 535.6178729184.

The spelling of 153661540 in words is "one hundred fifty-three million, six hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 7683077 15366154 30732308 38415385 76830770 153661540