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31429660 = 22531163311
BaseRepresentation
bin111011111100…
…1010000011100
32012010210101111
41313321100130
531021222120
63041351404
7531101443
oct167712034
965123344
1031429660
1116817629
12a638564
136685942
144261d5a
152b5c75a
hex1df941c

31429660 has 48 divisors (see below), whose sum is σ = 68769792. Its totient is φ = 12052800.

The previous prime is 31429637. The next prime is 31429679. The reversal of 31429660 is 6692413.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 100905 + ... + 101215.

It is an arithmetic number, because the mean of its divisors is an integer number (1432704).

It is a vampire number, since it can be written as 32609641 (with its own digits).

Almost surely, 231429660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31429660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34384896).

31429660 is an abundant number, since it is smaller than the sum of its proper divisors (37340132).

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

31429660 is a wasteful number, since it uses less digits than its factorization.

31429660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 31429660 is about 5606.2161927632. The cubic root of 31429660 is about 315.5827291689.

The spelling of 31429660 in words is "thirty-one million, four hundred twenty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 311 326 620 622 652 815 1244 1555 1630 3110 3260 5053 6220 9641 10106 19282 20212 25265 38564 48205 50530 50693 96410 101060 101386 192820 202772 253465 506930 1013860 1571483 3142966 6285932 7857415 15714830 31429660