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152241460 = 225717471361
BaseRepresentation
bin10010001001100…
…00010100110100
3101121110200000121
421010300110310
5302433211320
623035021324
73526013440
oct1104602464
9347420017
10152241460
1178a33298
1242b9a844
1325705207
141630d820
15d5738aa
hex9130534

152241460 has 96 divisors (see below), whose sum is σ = 395394048. Its totient is φ = 48046080.

The previous prime is 152241451. The next prime is 152241461. The reversal of 152241460 is 64142251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152241461) 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, 111180 + ... + 112540.

It is an arithmetic number, because the mean of its divisors is an integer number (4118688).

Almost surely, 2152241460 is an apocalyptic number.

152241460 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 152241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197697024).

152241460 is an abundant number, since it is smaller than the sum of its proper divisors (243152588).

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

152241460 is a wasteful number, since it uses less digits than its factorization.

152241460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 152241460 is about 12338.6166161365. The cubic root of 152241460 is about 533.9627733357.

The spelling of 152241460 in words is "one hundred fifty-two million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 329 340 470 476 595 658 799 940 1190 1316 1361 1598 1645 2380 2722 3196 3290 3995 5444 5593 6580 6805 7990 9527 11186 13610 15980 19054 22372 23137 27220 27965 38108 46274 47635 55930 63967 92548 95270 111860 115685 127934 161959 190540 231370 255868 319835 323918 447769 462740 639670 647836 809795 895538 1087439 1279340 1619590 1791076 2174878 2238845 3239180 4349756 4477690 5437195 7612073 8955380 10874390 15224146 21748780 30448292 38060365 76120730 152241460