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630847116 = 22345961541
BaseRepresentation
bin100101100110011…
…111011010001100
31121222001100120000
4211212133122030
52242444101431
6142333124300
721430053264
oct4546373214
91558040500
10630847116
112a4107859
12157329690
13a0909323
145dad67a4
153a5b29e6
hex2599f68c

630847116 has 120 divisors (see below), whose sum is σ = 1707755280. Its totient is φ = 202953600.

The previous prime is 630847103. The next prime is 630847157. The reversal of 630847116 is 611748036.

630847116 is a `hidden beast` number, since 630 + 8 + 4 + 7 + 1 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 1165806 + ... + 1166346.

It is an arithmetic number, because the mean of its divisors is an integer number (14231294).

Almost surely, 2630847116 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 630847116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853877640).

630847116 is an abundant number, since it is smaller than the sum of its proper divisors (1076908164).

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

630847116 is a wasteful number, since it uses less digits than its factorization.

630847116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 630847116 is about 25116.6700818401. The cubic root of 630847116 is about 857.6459490857.

The spelling of 630847116 in words is "six hundred thirty million, eight hundred forty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 61 81 108 118 122 162 177 183 236 244 324 354 366 531 541 549 708 732 1062 1082 1098 1593 1623 1647 2124 2164 2196 3186 3246 3294 3599 4779 4869 4941 6372 6492 6588 7198 9558 9738 9882 10797 14396 14607 19116 19476 19764 21594 29214 31919 32391 33001 43188 43821 58428 63838 64782 66002 87642 95757 97173 99003 127676 129564 132004 175284 191514 194346 198006 287271 291519 297009 383028 388692 396012 574542 583038 594018 861813 891027 1149084 1166076 1188036 1723626 1782054 1947059 2585439 2673081 3447252 3564108 3894118 5170878 5346162 5841177 7788236 10341756 10692324 11682354 17523531 23364708 35047062 52570593 70094124 105141186 157711779 210282372 315423558 630847116