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159428736 = 273415377
BaseRepresentation
bin10011000000010…
…11000010000000
3102002222211010000
421200023002000
5311303204421
623453040000
73644056545
oct1140130200
9362884100
10159428736
1181aa2195
1245486000
132705073c
1417260bcc
15dee3226
hex980b080

159428736 has 80 divisors (see below), whose sum is σ = 474488190. Its totient is φ = 53139456.

The previous prime is 159428707. The next prime is 159428743. The reversal of 159428736 is 637824951.

159428736 is a `hidden beast` number, since 1 + 594 + 28 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 78428736 = 9000^2 + 8856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 159428691 and 159428700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2680 + ... + 18056.

Almost surely, 2159428736 is an apocalyptic number.

159428736 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 159428736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237244095).

159428736 is an abundant number, since it is smaller than the sum of its proper divisors (315059454).

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

159428736 is an equidigital number, since it uses as much as digits as its factorization.

159428736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15403 (or 15382 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 159428736 is about 12626.5092563226. The cubic root of 159428736 is about 542.2366490632.

It can be divided in two parts, 1594287 and 36, that added together give a 13-th power (1594323 = 313).

The spelling of 159428736 in words is "one hundred fifty-nine million, four hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 15377 30754 46131 61508 92262 123016 138393 184524 246032 276786 369048 415179 492064 553572 738096 830358 984128 1107144 1245537 1476192 1660716 1968256 2214288 2491074 2952384 3321432 4428576 4982148 5904768 6642864 8857152 9964296 13285728 17714304 19928592 26571456 39857184 53142912 79714368 159428736