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152740120 = 235132391229
BaseRepresentation
bin10010001101010…
…10000100011000
3101122102000001111
421012222010120
5303100140440
623053430104
73533161321
oct1106520430
9348360044
10152740120
1179243a05
124319b334
132584b190
14163dd448
15d6214ea
hex91aa118

152740120 has 64 divisors (see below), whose sum is σ = 371952000. Its totient is φ = 56114688.

The previous prime is 152740111. The next prime is 152740139. The reversal of 152740120 is 21047251.

It is a happy number.

It is a super-2 number, since 2×1527401202 = 46659088515228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152740091 and 152740100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123666 + ... + 124894.

It is an arithmetic number, because the mean of its divisors is an integer number (5811750).

Almost surely, 2152740120 is an apocalyptic number.

152740120 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 152740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

152740120 is an abundant number, since it is smaller than the sum of its proper divisors (219211880).

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

152740120 is a wasteful number, since it uses less digits than its factorization.

152740120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 152740120 is about 12358.8073858281. The cubic root of 152740120 is about 534.5451282572.

Adding to 152740120 its reverse (21047251), we get a palindrome (173787371).

The spelling of 152740120 in words is "one hundred fifty-two million, seven hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 239 260 478 520 956 1195 1229 1912 2390 2458 3107 4780 4916 6145 6214 9560 9832 12290 12428 15535 15977 24580 24856 31070 31954 49160 62140 63908 79885 124280 127816 159770 293731 319540 587462 639080 1174924 1468655 2349848 2937310 3818503 5874620 7637006 11749240 15274012 19092515 30548024 38185030 76370060 152740120