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10630032 = 2437171861
BaseRepresentation
bin101000100011…
…001110010000
3202000001122220
4220203032100
510210130112
61015501040
7156232230
oct50431620
922001586
1010630032
116000556
123687780
13228257a
1415a9cc0
15dee98c
hexa23390

10630032 has 80 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 2856960.

The previous prime is 10630021. The next prime is 10630057. The reversal of 10630032 is 23003601.

It is a super-2 number, since 2×106300322 = 225995160642048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10629993 and 10630020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782 + ... + 6642.

Almost surely, 210630032 is an apocalyptic number.

10630032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10630032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

10630032 is an abundant number, since it is smaller than the sum of its proper divisors (22617840).

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

10630032 is a wasteful number, since it uses less digits than its factorization.

10630032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 10630032 is about 3260.3729847979. The cubic root of 10630032 is about 219.8761837727.

Adding to 10630032 its reverse (23003601), we get a palindrome (33633633).

The spelling of 10630032 in words is "ten million, six hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1861 1904 2856 3722 5583 5712 7444 11166 13027 14888 22332 26054 29776 31637 39081 44664 52108 63274 78162 89328 94911 104216 126548 156324 189822 208432 221459 253096 312648 379644 442918 506192 625296 664377 759288 885836 1328754 1518576 1771672 2657508 3543344 5315016 10630032