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660634056 = 23343132887
BaseRepresentation
bin100111011000000…
…111100111001000
31201001002200120000
4213120013213020
52323110242211
6145315403000
722241203545
oct4730074710
91631080500
10660634056
11309a02165
121652b3460
13a6b38334
1463a4bbcc
153cee8656
hex276079c8

660634056 has 80 divisors (see below), whose sum is σ = 1910135040. Its totient is φ = 213101280.

The previous prime is 660634049. The next prime is 660634081. The reversal of 660634056 is 650436066.

660634056 is a `hidden beast` number, since 6 + 606 + 3 + 40 + 5 + 6 = 666.

It is a super-2 number, since 2×6606340562 = 872874711894022272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 660634056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3645 + ... + 36531.

It is an arithmetic number, because the mean of its divisors is an integer number (23876688).

Almost surely, 2660634056 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 660634056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955067520).

660634056 is an abundant number, since it is smaller than the sum of its proper divisors (1249500984).

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

660634056 is a wasteful number, since it uses less digits than its factorization.

660634056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32936 (or 32923 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 660634056 is about 25702.8024931135. The cubic root of 660634056 is about 870.9374912026.

The spelling of 660634056 in words is "six hundred sixty million, six hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 32887 65774 98661 131548 197322 263096 295983 394644 591966 789288 887949 1019497 1183932 1775898 2038994 2367864 2663847 3058491 3551796 4077988 5327694 6116982 7103592 8155976 9175473 10655388 12233964 18350946 21310776 24467928 27526419 36701892 55052838 73403784 82579257 110105676 165158514 220211352 330317028 660634056