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159086430 = 23451910337
BaseRepresentation
bin10010111101101…
…11011101011110
3102002100102120000
421132313131132
5311211231210
623441435130
73641132556
oct1136673536
9362312500
10159086430
1181888a98
124533baa6
1326c609a9
14171b2166
15de76ac0
hex97b775e

159086430 has 80 divisors (see below), whose sum is σ = 450323280. Its totient is φ = 40186368.

The previous prime is 159086419. The next prime is 159086453. The reversal of 159086430 is 34680951.

159086430 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 8 + 643 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10222 + ... + 20558.

It is an arithmetic number, because the mean of its divisors is an integer number (5629041).

Almost surely, 2159086430 is an apocalyptic number.

159086430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 159086430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225161640).

159086430 is an abundant number, since it is smaller than the sum of its proper divisors (291236850).

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

159086430 is a wasteful number, since it uses less digits than its factorization.

159086430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 159086430 is about 12612.9469197329. The cubic root of 159086430 is about 541.8482961182.

The spelling of 159086430 in words is "one hundred fifty-nine million, eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 10337 15390 20674 31011 51685 62022 93033 103370 155055 186066 196403 279099 310110 392806 465165 558198 589209 837297 930330 982015 1178418 1395495 1674594 1767627 1964030 2790990 2946045 3535254 4186485 5302881 5892090 8372970 8838135 10605762 15908643 17676270 26514405 31817286 53028810 79543215 159086430