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632940 = 2235711137
BaseRepresentation
bin10011010100001101100
31012011020020
42122201230
5130223230
621322140
75244210
oct2324154
91164206
10632940
113a25a0
12266350
13192129
14126940
15c7810
hex9a86c

632940 has 96 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 130560.

The previous prime is 632939. The next prime is 632941. The reversal of 632940 is 49236.

It is an interprime number because it is at equal distance from previous prime (632939) and next prime (632941).

It is a super-2 number, since 2×6329402 = 801226087200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 632940.

It is not an unprimeable number, because it can be changed into a prime (632941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2632940 is an apocalyptic number.

632940 is a gapful number since it is divisible by the number (60) 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 632940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832).

632940 is an abundant number, since it is smaller than the sum of its proper divisors (1592724).

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

632940 is a wasteful number, since it uses less digits than its factorization.

632940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 632940 is about 795.5752635672. The cubic root of 632940 is about 85.8593337723.

It can be divided in two parts, 63 and 2940, that added together give a palindrome (3003).

The spelling of 632940 in words is "six hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 137 140 154 165 210 220 231 274 308 330 385 411 420 462 548 660 685 770 822 924 959 1155 1370 1507 1540 1644 1918 2055 2310 2740 2877 3014 3836 4110 4521 4620 4795 5754 6028 7535 8220 9042 9590 10549 11508 14385 15070 18084 19180 21098 22605 28770 30140 31647 42196 45210 52745 57540 63294 90420 105490 126588 158235 210980 316470 632940