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155161728 = 27323672
BaseRepresentation
bin10010011111110…
…01010010000000
3101210222000212200
421033321102000
5304210133403
623221353200
73562565361
oct1117712200
9353860780
10155161728
117a648337
1243b68800
13261b8497
141686db68
15d94dca3
hex93f9480

155161728 has 72 divisors (see below), whose sum is σ = 447713955. Its totient is φ = 51579648.

The previous prime is 155161667. The next prime is 155161739. The reversal of 155161728 is 827161551.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

155161728 is a `hidden beast` number, since 15 + 5 + 1 + 617 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77580864 + 77580864 = 8808^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155161692 and 155161701.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 422601 + ... + 422967.

Almost surely, 2155161728 is an apocalyptic number.

155161728 is a gapful number since it is divisible by the number (18) 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 155161728

155161728 is an abundant number, since it is smaller than the sum of its proper divisors (292552227).

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

155161728 is an frugal number, since it uses more digits than its factorization.

155161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 372 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 155161728 is about 12456.3930573822. The cubic root of 155161728 is about 537.3552989247.

The spelling of 155161728 in words is "one hundred fifty-five million, one hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 367 384 576 734 1101 1152 1468 2202 2936 3303 4404 5872 6606 8808 11744 13212 17616 23488 26424 35232 46976 52848 70464 105696 134689 140928 211392 269378 404067 422784 538756 808134 1077512 1212201 1616268 2155024 2424402 3232536 4310048 4848804 6465072 8620096 9697608 12930144 17240192 19395216 25860288 38790432 51720576 77580864 155161728