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631104 = 26319173
BaseRepresentation
bin10011010000101000000
31012001201020
42122011000
5130143404
621305440
75235645
oct2320500
91161636
10631104
113a1181
12265280
13191346
14125dcc
15c6ed9
hex9a140

631104 has 56 divisors (see below), whose sum is σ = 1767840. Its totient is φ = 198144.

The previous prime is 631061. The next prime is 631121. The reversal of 631104 is 401136.

It is a congruent number.

It is an unprimeable number.

631104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3562 + ... + 3734.

2631104 is an apocalyptic number.

631104 is a gapful number since it is divisible by the number (64) 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 631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883920).

631104 is an abundant number, since it is smaller than the sum of its proper divisors (1136736).

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

631104 is a wasteful number, since it uses less digits than its factorization.

631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 631104 is about 794.4205435410. The cubic root of 631104 is about 85.7762345816.

It can be divided in two parts, 6 and 31104, that multiplied together give a square (186624 = 4322).

The spelling of 631104 in words is "six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 173 192 228 304 346 456 519 608 692 912 1038 1216 1384 1824 2076 2768 3287 3648 4152 5536 6574 8304 9861 11072 13148 16608 19722 26296 33216 39444 52592 78888 105184 157776 210368 315552 631104