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150125696 = 2771371223
BaseRepresentation
bin10001111001010…
…11110010000000
3101110111011201222
420330223302000
5301413010241
622521414212
73502022150
oct1074536200
9343434658
10150125696
1177818726
124233a368
1325144196
1415d1c760
15d2a6a4b
hex8f2bc80

150125696 has 64 divisors (see below), whose sum is σ = 344580480. Its totient is φ = 63817728.

The previous prime is 150125683. The next prime is 150125719. The reversal of 150125696 is 696521051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122141 + ... + 123363.

It is an arithmetic number, because the mean of its divisors is an integer number (5384070).

Almost surely, 2150125696 is an apocalyptic number.

150125696 is a gapful number since it is divisible by the number (16) 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 150125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172290240).

150125696 is an abundant number, since it is smaller than the sum of its proper divisors (194454784).

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

150125696 is a wasteful number, since it uses less digits than its factorization.

150125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 150125696 is about 12252.5791570591. The cubic root of 150125696 is about 531.4776564124.

The spelling of 150125696 in words is "one hundred fifty million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 274 448 548 896 959 1096 1223 1918 2192 2446 3836 4384 4892 7672 8561 8768 9784 15344 17122 17536 19568 30688 34244 39136 61376 68488 78272 122752 136976 156544 167551 273952 335102 547904 670204 1095808 1172857 1340408 2345714 2680816 4691428 5361632 9382856 10723264 18765712 21446528 37531424 75062848 150125696