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632653140 = 223571506317
BaseRepresentation
bin100101101101011…
…000010101010100
31122002110002221210
4211231120111110
52243424400030
6142435541420
721451314540
oct4555302524
91562402853
10632653140
112a5130739
12157a5a870
13a10bc392
1460046a20
153a81cbb0
hex25b58554

632653140 has 48 divisors (see below), whose sum is σ = 2024491392. Its totient is φ = 144606336.

The previous prime is 632653139. The next prime is 632653159. The reversal of 632653140 is 41356236.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 632653098 and 632653107.

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, 752739 + ... + 753578.

It is an arithmetic number, because the mean of its divisors is an integer number (42176904).

Almost surely, 2632653140 is an apocalyptic number.

632653140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

632653140 is an abundant number, since it is smaller than the sum of its proper divisors (1391838252).

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

632653140 is a wasteful number, since it uses less digits than its factorization.

632653140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506336 (or 1506334 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 632653140 is about 25152.5970826076. The cubic root of 632653140 is about 858.4636080476.

The spelling of 632653140 in words is "six hundred thirty-two million, six hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1506317 3012634 4518951 6025268 7531585 9037902 10544219 15063170 18075804 21088438 22594755 30126340 31632657 42176876 45189510 52721095 63265314 90379020 105442190 126530628 158163285 210884380 316326570 632653140