Search a number
-
+
15994368 = 29331389
BaseRepresentation
bin111101000000…
…111000000000
31010002121011000
4331000320000
513043304433
61330452000
7252643545
oct75007000
933077130
1015994368
119034895
125434000
133410130
1421a4bcc
15160e113
hexf40e00

15994368 has 160 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 4866048.

The previous prime is 15994367. The next prime is 15994379. The reversal of 15994368 is 86349951.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15994367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179668 + ... + 179756.

It is an arithmetic number, because the mean of its divisors is an integer number (322245).

Almost surely, 215994368 is an apocalyptic number.

15994368 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 15994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

15994368 is an abundant number, since it is smaller than the sum of its proper divisors (35564832).

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

15994368 is an equidigital number, since it uses as much as digits as its factorization.

15994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 15994368 is about 3999.2959380371. The cubic root of 15994368 is about 251.9546403619.

The spelling of 15994368 in words is "fifteen million, nine hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 89 96 104 108 117 128 144 156 178 192 208 216 234 256 267 288 312 351 356 384 416 432 468 512 534 576 624 702 712 768 801 832 864 936 1068 1152 1157 1248 1404 1424 1536 1602 1664 1728 1872 2136 2304 2314 2403 2496 2808 2848 3204 3328 3456 3471 3744 4272 4608 4628 4806 4992 5616 5696 6408 6656 6912 6942 7488 8544 9256 9612 9984 10413 11232 11392 12816 13824 13884 14976 17088 18512 19224 19968 20826 22464 22784 25632 27768 29952 31239 34176 37024 38448 41652 44928 45568 51264 55536 59904 62478 68352 74048 76896 83304 89856 102528 111072 124956 136704 148096 153792 166608 179712 205056 222144 249912 296192 307584 333216 410112 444288 499824 592384 615168 666432 888576 999648 1230336 1332864 1777152 1999296 2665728 3998592 5331456 7997184 15994368