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507928140 = 2232519148517
BaseRepresentation
bin11110010001100…
…101111001001100
31022101202102102100
4132101211321030
52020012200030
6122222355100
715405214026
oct3621457114
91271672370
10507928140
11240791a25
1212212ba90
13812cc8c5
144b65b016
152e8d2360
hex1e465e4c

507928140 has 72 divisors (see below), whose sum is σ = 1621816560. Its totient is φ = 128317824.

The previous prime is 507928133. The next prime is 507928177. The reversal of 507928140 is 41829705.

507928140 is a `hidden beast` number, since 507 + 9 + 2 + 8 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 507928095 and 507928104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70839 + ... + 77678.

It is an arithmetic number, because the mean of its divisors is an integer number (22525230).

Almost surely, 2507928140 is an apocalyptic number.

It is an amenable number.

507928140 is an abundant number, since it is smaller than the sum of its proper divisors (1113888420).

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

507928140 is a wasteful number, since it uses less digits than its factorization.

507928140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148551 (or 148546 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 507928140 is about 22537.2611468208. The cubic root of 507928140 is about 797.8735925804.

The spelling of 507928140 in words is "five hundred seven million, nine hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 148517 297034 445551 594068 742585 891102 1336653 1485170 1782204 2227755 2673306 2821823 2970340 4455510 5346612 5643646 6683265 8465469 8911020 11287292 13366530 14109115 16930938 25396407 26733060 28218230 33861876 42327345 50792814 56436460 84654690 101585628 126982035 169309380 253964070 507928140