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152126260 = 2251113431237
BaseRepresentation
bin10010001000101…
…00001100110100
3101121020210222221
421010110030310
5302421020020
623032332124
73525023536
oct1104241464
9347223887
10152126260
1178964790
1242b44044
1325694950
14162bd856
15d54e6aa
hex9114334

152126260 has 96 divisors (see below), whose sum is σ = 384354432. Its totient is φ = 49835520.

The previous prime is 152126243. The next prime is 152126279. The reversal of 152126260 is 62621251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122362 + ... + 123598.

It is an arithmetic number, because the mean of its divisors is an integer number (4003692).

Almost surely, 2152126260 is an apocalyptic number.

152126260 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 152126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192177216).

152126260 is an abundant number, since it is smaller than the sum of its proper divisors (232228172).

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

152126260 is a wasteful number, since it uses less digits than its factorization.

152126260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 152126260 is about 12333.9474621874. The cubic root of 152126260 is about 533.8280574413.

The spelling of 152126260 in words is "one hundred fifty-two million, one hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 130 143 172 215 220 260 286 430 473 559 572 715 860 946 1118 1237 1430 1892 2236 2365 2474 2795 2860 4730 4948 5590 6149 6185 9460 11180 12298 12370 13607 16081 24596 24740 27214 30745 32162 53191 54428 61490 64324 68035 80405 106382 122980 136070 160810 176891 212764 265955 272140 321620 353782 531910 585101 691483 707564 884455 1063820 1170202 1382966 1768910 2340404 2765932 2925505 3457415 3537820 5851010 6914830 7606313 11702020 13829660 15212626 30425252 38031565 76063130 152126260