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152669104 = 24721937277
BaseRepresentation
bin10010001100110…
…00101110110000
3101122021101122021
421012120232300
5303040402404
623052121224
73532444300
oct1106305660
9348241567
10152669104
11791a5615
1243166214
1325824a63
14163c1600
15d60a454
hex9198bb0

152669104 has 120 divisors (see below), whose sum is σ = 373331760. Its totient is φ = 60092928.

The previous prime is 152669093. The next prime is 152669107. The reversal of 152669104 is 401966251.

It is a self number, because there is not a number n which added to its sum of digits gives 152669104.

It is not an unprimeable number, because it can be changed into a prime (152669107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551014 + ... + 551290.

It is an arithmetic number, because the mean of its divisors is an integer number (3111098).

Almost surely, 2152669104 is an apocalyptic number.

152669104 is a gapful number since it is divisible by the number (14) 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 152669104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186665880).

152669104 is an abundant number, since it is smaller than the sum of its proper divisors (220662656).

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

152669104 is a wasteful number, since it uses less digits than its factorization.

152669104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 152669104 is about 12355.9339590336. The cubic root of 152669104 is about 534.4622704338.

The spelling of 152669104 in words is "one hundred fifty-two million, six hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 37 38 49 56 74 76 98 112 133 148 152 196 259 266 277 296 304 392 518 532 554 592 703 784 931 1036 1064 1108 1406 1813 1862 1939 2072 2128 2216 2812 3626 3724 3878 4144 4432 4921 5263 5624 7252 7448 7756 9842 10249 10526 11248 13573 14504 14896 15512 19684 20498 21052 27146 29008 31024 34447 36841 39368 40996 42104 54292 68894 71743 73682 78736 81992 84208 108584 137788 143486 147364 163984 194731 217168 257887 275576 286972 294728 389462 502201 515774 551152 573944 589456 778924 1004402 1031548 1147888 1363117 1557848 2008804 2063096 2726234 3115696 4017608 4126192 5452468 8035216 9541819 10904936 19083638 21809872 38167276 76334552 152669104