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152307960 = 23357315849
BaseRepresentation
bin10010001010000…
…00100011111000
3101121121001020120
421011000203320
5302442323320
623040253240
73526411350
oct1105004370
9347531216
10152307960
1178a79252
1243011220
132572956c
1416329b60
15d588440
hex91408f8

152307960 has 128 divisors (see below), whose sum is σ = 539136000. Its totient is φ = 33684480.

The previous prime is 152307941. The next prime is 152307983. The reversal of 152307960 is 69703251.

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, 23116 + ... + 28964.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2152307960 is an apocalyptic number.

152307960 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 152307960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

152307960 is an abundant number, since it is smaller than the sum of its proper divisors (386828040).

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

152307960 is a wasteful number, since it uses less digits than its factorization.

152307960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 152307960 is about 12341.3111134920. The cubic root of 152307960 is about 534.0405080859.

The spelling of 152307960 in words is "one hundred fifty-two million, three hundred seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 5849 6510 8680 11698 13020 17547 23396 26040 29245 35094 40943 46792 58490 70188 81886 87735 116980 122829 140376 163772 175470 181319 204715 233960 245658 327544 350940 362638 409430 491316 543957 614145 701880 725276 818860 906595 982632 1087914 1228290 1269233 1450552 1637720 1813190 2175828 2456580 2538466 2719785 3626380 3807699 4351656 4913160 5076932 5439570 6346165 7252760 7615398 10153864 10879140 12692330 15230796 19038495 21758280 25384660 30461592 38076990 50769320 76153980 152307960