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1631388680 = 235179724733
BaseRepresentation
bin110000100111101…
…0000010000001000
311012200202010112222
41201033100100020
511320113414210
6425514153212
755266401135
oct14117202010
94180663488
101631388680
11767970509
12396422808
131ccca5b5c
1411694558c
159834e655
hex613d0408

1631388680 has 64 divisors (see below), whose sum is σ = 3926769840. Its totient is φ = 607813632.

The previous prime is 1631388677. The next prime is 1631388709. The reversal of 1631388680 is 868831361.

It can be written as a sum of positive squares in 8 ways, for example, as 455310244 + 1176078436 = 21338^2 + 34294^2 .

It is a super-2 number, since 2×16313886802 = 5322858050464284800, which contains 22 as substring.

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, 53594 + ... + 78326.

Almost surely, 21631388680 is an apocalyptic number.

1631388680 is a gapful number since it is divisible by the number (10) 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 1631388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963384920).

1631388680 is an abundant number, since it is smaller than the sum of its proper divisors (2295381160).

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

1631388680 is a wasteful number, since it uses less digits than its factorization.

1631388680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24858 (or 24854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 1631388680 is about 40390.4528323217. The cubic root of 1631388680 is about 1177.2060394059.

The spelling of 1631388680 in words is "one billion, six hundred thirty-one million, three hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 340 388 485 680 776 970 1649 1940 3298 3880 6596 8245 13192 16490 24733 32980 49466 65960 98932 123665 197864 247330 420461 494660 840922 989320 1681844 2102305 2399101 3363688 4204610 4798202 8409220 9596404 11995505 16818440 19192808 23991010 40784717 47982020 81569434 95964040 163138868 203923585 326277736 407847170 815694340 1631388680