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630020832 = 25372671999
BaseRepresentation
bin100101100011010…
…101101011100000
31121220111101002220
4211203111223200
52242241131312
6142303311040
721420042300
oct4543255340
91556441086
10630020832
112a36a2a81
12156bab480
13a06aa1bc
145d95d600
153a49cc8c
hex258d5ae0

630020832 has 144 divisors (see below), whose sum is σ = 1953504000. Its totient is φ = 177230592.

The previous prime is 630020707. The next prime is 630020837. The reversal of 630020832 is 238020036.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630020837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314169 + ... + 316167.

It is an arithmetic number, because the mean of its divisors is an integer number (13566000).

Almost surely, 2630020832 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 630020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

630020832 is an abundant number, since it is smaller than the sum of its proper divisors (1323483168).

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

630020832 is a wasteful number, since it uses less digits than its factorization.

630020832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 630020832 is about 25100.2157759650. The cubic root of 630020832 is about 857.2713370582.

Adding to 630020832 its reverse (238020036), we get a palindrome (868040868).

The spelling of 630020832 in words is "six hundred thirty million, twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 67 84 96 98 112 134 147 168 196 201 224 268 294 336 392 402 469 536 588 672 784 804 938 1072 1176 1407 1568 1608 1876 1999 2144 2352 2814 3216 3283 3752 3998 4704 5628 5997 6432 6566 7504 7996 9849 11256 11994 13132 13993 15008 15992 19698 22512 23988 26264 27986 31984 39396 41979 45024 47976 52528 55972 63968 78792 83958 95952 97951 105056 111944 133933 157584 167916 191904 195902 223888 267866 293853 315168 335832 391804 401799 447776 535732 587706 671664 783608 803598 937531 1071464 1175412 1343328 1567216 1607196 1875062 2142928 2350824 2812593 3134432 3214392 3750124 4285856 4701648 5625186 6428784 6562717 7500248 9403296 11250372 12857568 13125434 15000496 19688151 22500744 26250868 30000992 39376302 45001488 52501736 78752604 90002976 105003472 157505208 210006944 315010416 630020832