Search a number
-
+
152114880 = 2635193821
BaseRepresentation
bin10010001000100…
…01011011000000
3101121020020101110
421010101123000
5302420134010
623032203320
73524645421
oct1104213300
9347206343
10152114880
1178957185
1242b39540
132568c708
14162b9648
15d54b120
hex91116c0

152114880 has 112 divisors (see below), whose sum is σ = 486058464. Its totient is φ = 40304640.

The previous prime is 152114863. The next prime is 152114891. The reversal of 152114880 is 88411251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184870 + ... + 185690.

Almost surely, 2152114880 is an apocalyptic number.

152114880 is a gapful number since it is divisible by the number (10) 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 152114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243029232).

152114880 is an abundant number, since it is smaller than the sum of its proper divisors (333943584).

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

152114880 is a wasteful number, since it uses less digits than its factorization.

152114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 152114880 is about 12333.4861251797. The cubic root of 152114880 is about 533.8147458785.

The spelling of 152114880 in words is "one hundred fifty-two million, one hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 193 240 320 386 480 579 772 821 960 965 1158 1544 1642 1930 2316 2463 2895 3088 3284 3860 4105 4632 4926 5790 6176 6568 7720 8210 9264 9852 11580 12315 12352 13136 15440 16420 18528 19704 23160 24630 26272 30880 32840 37056 39408 46320 49260 52544 61760 65680 78816 92640 98520 131360 157632 158453 185280 197040 262720 316906 394080 475359 633812 788160 792265 950718 1267624 1584530 1901436 2376795 2535248 3169060 3802872 4753590 5070496 6338120 7605744 9507180 10140992 12676240 15211488 19014360 25352480 30422976 38028720 50704960 76057440 152114880