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534517920 = 25335123731
BaseRepresentation
bin11111110111000…
…001100010100000
31101020210022202000
4133313001202200
52043314033140
6125012324000
716150220166
oct3767014240
91336708660
10534517920
112547a3252
1212b013600
138697c5c1
1450dbd236
1531dd5a30
hex1fdc18a0

534517920 has 96 divisors (see below), whose sum is σ = 1870827840. Its totient is φ = 142536960.

The previous prime is 534517901. The next prime is 534517931. The reversal of 534517920 is 29715435.

534517920 is a `hidden beast` number, since 53 + 4 + 517 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5345179202 = 571418813602252800, which contains 22 as substring.

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

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, 57546 + ... + 66185.

It is an arithmetic number, because the mean of its divisors is an integer number (19487790).

Almost surely, 2534517920 is an apocalyptic number.

It is an amenable number.

534517920 is an abundant number, since it is smaller than the sum of its proper divisors (1336309920).

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

534517920 is a wasteful number, since it uses less digits than its factorization.

534517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123755 (or 123741 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 534517920 is about 23119.6435958689. The cubic root of 534517920 is about 811.5602300511.

The spelling of 534517920 in words is "five hundred thirty-four million, five hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 123731 247462 371193 494924 618655 742386 989848 1113579 1237310 1484772 1855965 1979696 2227158 2474620 2969544 3340737 3711930 3959392 4454316 4949240 5567895 5939088 6681474 7423860 8908632 9898480 11135790 11878176 13362948 14847720 16703685 17817264 19796960 22271580 26725896 29695440 33407370 35634528 44543160 53451792 59390880 66814740 89086320 106903584 133629480 178172640 267258960 534517920