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151583540 = 22510916947
BaseRepresentation
bin10010000100011…
…11101100110100
3101120020020112012
421002033230310
5302301133130
623012543352
73520303343
oct1102175464
9346206465
10151583540
1178623a59
1242921b58
1325534904
14161bbb5a
15d493995
hex908fb34

151583540 has 24 divisors (see below), whose sum is σ = 318663072. Its totient is φ = 60569120.

The previous prime is 151583503. The next prime is 151583569. The reversal of 151583540 is 45385151.

It is a junction number, because it is equal to n+sod(n) for n = 151583497 and 151583506.

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 7 ways as a sum of consecutive naturals, for example, 18347 + ... + 25293.

It is an arithmetic number, because the mean of its divisors is an integer number (13277628).

Almost surely, 2151583540 is an apocalyptic number.

151583540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151583540 is an abundant number, since it is smaller than the sum of its proper divisors (167079532).

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

151583540 is a wasteful number, since it uses less digits than its factorization.

151583540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 151583540 is about 12311.9267379237. The cubic root of 151583540 is about 533.1924792966.

The spelling of 151583540 in words is "one hundred fifty-one million, five hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1091 2182 4364 5455 6947 10910 13894 21820 27788 34735 69470 138940 7579177 15158354 30316708 37895885 75791770 151583540