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6157944 = 2334131743
BaseRepresentation
bin10111011111011001111000
3102120212010000
4113133121320
53034023234
6335553000
7103225122
oct27373170
912525100
106157944
113526611
12208b760
131377b70
14b64212
15819899
hex5df678

6157944 has 160 divisors (see below), whose sum is σ = 20124720. Its totient is φ = 1741824.

The previous prime is 6157939. The next prime is 6157969. The reversal of 6157944 is 4497516.

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

It is a d-powerful number, because it can be written as 65 + 1 + 59 + 74 + 92 + 44 + 411 .

It is a junction number, because it is equal to n+sod(n) for n = 6157899 and 6157908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143187 + ... + 143229.

Almost surely, 26157944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6157944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062360).

6157944 is an abundant number, since it is smaller than the sum of its proper divisors (13966776).

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

6157944 is a wasteful number, since it uses less digits than its factorization.

6157944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 6157944 is about 2481.5205016280. The cubic root of 6157944 is about 183.2927322396.

The spelling of 6157944 in words is "six million, one hundred fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 43 51 52 54 68 72 78 81 86 102 104 108 117 129 136 153 156 162 172 204 216 221 234 258 306 312 324 344 351 387 408 442 459 468 516 559 612 648 663 702 731 774 884 918 936 1032 1053 1118 1161 1224 1326 1377 1404 1462 1548 1677 1768 1836 1989 2106 2193 2236 2322 2652 2754 2808 2924 3096 3354 3483 3672 3978 4212 4386 4472 4644 5031 5304 5508 5848 5967 6579 6708 6966 7956 8424 8772 9288 9503 10062 11016 11934 13158 13416 13932 15093 15912 17544 17901 19006 19737 20124 23868 26316 27864 28509 30186 35802 38012 39474 40248 45279 47736 52632 57018 59211 60372 71604 76024 78948 85527 90558 114036 118422 120744 143208 157896 171054 181116 228072 236844 256581 342108 362232 473688 513162 684216 769743 1026324 1539486 2052648 3078972 6157944