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534089920 = 26571318341
BaseRepresentation
bin11111110101011…
…001000011000000
31101012222120122011
4133311121003000
52043211334140
6124555222304
716143455320
oct3765310300
91335876564
10534089920
11254530731
1212aa47994
138685c850
1450d0b280
1531d4dcea
hex1fd590c0

534089920 has 112 divisors (see below), whose sum is σ = 1565379648. Its totient is φ = 169021440.

The previous prime is 534089911. The next prime is 534089921. The reversal of 534089920 is 29980435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (534089921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19950 + ... + 38290.

It is an arithmetic number, because the mean of its divisors is an integer number (13976604).

Almost surely, 2534089920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782689824).

534089920 is an abundant number, since it is smaller than the sum of its proper divisors (1031289728).

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

534089920 is a wasteful number, since it uses less digits than its factorization.

534089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18378 (or 18368 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 534089920 is about 23110.3855441661. The cubic root of 534089920 is about 811.3435609640.

The spelling of 534089920 in words is "five hundred thirty-four million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 18341 29120 36682 73364 91705 128387 146728 183410 238433 256774 293456 366820 476866 513548 586912 641935 733640 953732 1027096 1173824 1192165 1283870 1467280 1669031 1907464 2054192 2384330 2567740 2934560 3338062 3814928 4108384 4768660 5135480 5869120 6676124 7629856 8216768 8345155 9537320 10270960 13352248 15259712 16690310 19074640 20541920 26704496 33380620 38149280 41083840 53408992 66761240 76298560 106817984 133522480 267044960 534089920