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501104640 = 214352039
BaseRepresentation
bin11101110111100…
…100000000000000
31021220220202100010
4131313210000000
52011240322030
6121420224520
715263214321
oct3567440000
91256822303
10501104640
11237951373
1211b99b140
137ca80b2a
144a7a2448
152ded56b0
hex1dde4000

501104640 has 120 divisors (see below), whose sum is σ = 1604272320. Its totient is φ = 133562368.

The previous prime is 501104629. The next prime is 501104687. The reversal of 501104640 is 46401105.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5011046402 = 502211720459059200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244741 + ... + 246779.

It is an arithmetic number, because the mean of its divisors is an integer number (13368936).

Almost surely, 2501104640 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 501104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802136160).

501104640 is an abundant number, since it is smaller than the sum of its proper divisors (1103167680).

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

501104640 is an equidigital number, since it uses as much as digits as its factorization.

501104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 501104640 is about 22385.3666487730. The cubic root of 501104640 is about 794.2845983013.

Adding to 501104640 its reverse (46401105), we get a palindrome (547505745).

The spelling of 501104640 in words is "five hundred one million, one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2039 2048 2560 3072 3840 4078 4096 5120 6117 6144 7680 8156 8192 10195 10240 12234 12288 15360 16312 16384 20390 20480 24468 24576 30585 30720 32624 40780 40960 48936 49152 61170 61440 65248 81560 81920 97872 122340 122880 130496 163120 195744 244680 245760 260992 326240 391488 489360 521984 652480 782976 978720 1043968 1304960 1565952 1957440 2087936 2609920 3131904 3914880 4175872 5219840 6263808 7829760 8351744 10439680 12527616 15659520 16703488 20879360 25055232 31319040 33406976 41758720 50110464 62638080 83517440 100220928 125276160 167034880 250552320 501104640