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152214960 = 24353141499
BaseRepresentation
bin10010001001010…
…01110110110000
3101121102022200010
421010221312300
5302431334320
623034254520
73525543252
oct1104516660
9347368603
10152214960
1178a15397
1242b87440
13256c6131
1416303cd2
15d56aae0
hex9129db0

152214960 has 160 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 38246400.

The previous prime is 152214917. The next prime is 152215013. The reversal of 152214960 is 69412251.

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 31 ways as a sum of consecutive naturals, for example, 304791 + ... + 305289.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2152214960 is an apocalyptic number.

152214960 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 152214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

152214960 is an abundant number, since it is smaller than the sum of its proper divisors (347753040).

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

152214960 is a wasteful number, since it uses less digits than its factorization.

152214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 152214960 is about 12337.5427050933. The cubic root of 152214960 is about 533.9317900224.

The spelling of 152214960 in words is "one hundred fifty-two million, two hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 155 164 186 205 240 246 248 310 328 372 410 465 492 496 499 615 620 656 744 820 930 984 998 1230 1240 1271 1488 1497 1640 1860 1968 1996 2460 2480 2495 2542 2994 3280 3720 3813 3992 4920 4990 5084 5988 6355 7440 7485 7626 7984 9840 9980 10168 11976 12710 14970 15252 15469 19065 19960 20336 20459 23952 25420 29940 30504 30938 38130 39920 40918 46407 50840 59880 61008 61377 61876 76260 77345 81836 92814 101680 102295 119760 122754 123752 152520 154690 163672 185628 204590 232035 245508 247504 305040 306885 309380 327344 371256 409180 464070 491016 613770 618760 634229 742512 818360 928140 982032 1227540 1237520 1268458 1636720 1856280 1902687 2455080 2536916 3171145 3712560 3805374 4910160 5073832 6342290 7610748 9513435 10147664 12684580 15221496 19026870 25369160 30442992 38053740 50738320 76107480 152214960