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152071320 = 23354759457
BaseRepresentation
bin10010001000001…
…10110010011000
3101121011000122010
421010012302120
5302412240240
623031225520
73524404422
oct1104066230
9347130563
10152071320
1178927485
1242b182a0
132567593b
14162a7812
15d53d280
hex9106c98

152071320 has 128 divisors (see below), whose sum is σ = 474854400. Its totient is φ = 38931456.

The previous prime is 152071319. The next prime is 152071321. The reversal of 152071320 is 23170251.

It is an interprime number because it is at equal distance from previous prime (152071319) and next prime (152071321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152071321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332532 + ... + 332988.

It is an arithmetic number, because the mean of its divisors is an integer number (3709800).

Almost surely, 2152071320 is an apocalyptic number.

152071320 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 152071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237427200).

152071320 is an abundant number, since it is smaller than the sum of its proper divisors (322783080).

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

152071320 is a wasteful number, since it uses less digits than its factorization.

152071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 152071320 is about 12331.7200746692. The cubic root of 152071320 is about 533.7637861690.

The spelling of 152071320 in words is "one hundred fifty-two million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 59 60 94 118 120 141 177 188 235 236 282 295 354 376 457 470 472 564 590 705 708 885 914 940 1128 1180 1371 1410 1416 1770 1828 1880 2285 2360 2742 2773 2820 3540 3656 4570 5484 5546 5640 6855 7080 8319 9140 10968 11092 13710 13865 16638 18280 21479 22184 26963 27420 27730 33276 41595 42958 53926 54840 55460 64437 66552 80889 83190 85916 107395 107852 110920 128874 134815 161778 166380 171832 214790 215704 257748 269630 322185 323556 332760 404445 429580 515496 539260 644370 647112 808890 859160 1078520 1267261 1288740 1617780 2534522 2577480 3235560 3801783 5069044 6336305 7603566 10138088 12672610 15207132 19008915 25345220 30414264 38017830 50690440 76035660 152071320