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631660032 = 29355077
BaseRepresentation
bin100101101001100…
…101111000000000
31122000120122200000
4211221211320000
52243201110112
6142402400000
721440010303
oct4551457000
91560518600
10631660032
112a4612593
12157660000
13a0b32343
145dc68b3a
153a6c37dc
hex25a65e00

631660032 has 120 divisors (see below), whose sum is σ = 1890905016. Its totient is φ = 210511872.

The previous prime is 631660019. The next prime is 631660039. The reversal of 631660032 is 230066136.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 631659978 and 631660005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631660039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121878 + ... + 126954.

Almost surely, 2631660032 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 631660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945452508).

631660032 is an abundant number, since it is smaller than the sum of its proper divisors (1259244984).

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

631660032 is an frugal number, since it uses more digits than its factorization.

631660032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 631660032 is about 25132.8476699319. The cubic root of 631660032 is about 858.0141813882.

The spelling of 631660032 in words is "six hundred thirty-one million, six hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5077 5184 6912 7776 10154 10368 13824 15231 15552 20308 20736 30462 31104 40616 41472 45693 60924 62208 81232 91386 121848 124416 137079 162464 182772 243696 274158 324928 365544 411237 487392 548316 649856 731088 822474 974784 1096632 1233711 1299712 1462176 1644948 1949568 2193264 2467422 2599424 2924352 3289896 3899136 4386528 4934844 5848704 6579792 7798272 8773056 9869688 11697408 13159584 17546112 19739376 23394816 26319168 35092224 39478752 52638336 70184448 78957504 105276672 157915008 210553344 315830016 631660032