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31427190 = 2385479
BaseRepresentation
bin111011111100…
…0101001110110
32012010200000000
41313320221312
531021132230
63041332130
7531061314
oct167705166
965120000
1031427190
1116815793
12a637046
136684792
1442610b4
152b5bb60
hex1df8a76

31427190 has 72 divisors (see below), whose sum is σ = 85026240. Its totient is φ = 8363088.

The previous prime is 31427189. The next prime is 31427191. The reversal of 31427190 is 9172413.

It is an interprime number because it is at equal distance from previous prime (31427189) and next prime (31427191).

It is a super-2 number, since 2×314271902 = 1975336542592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65371 + ... + 65849.

It is an arithmetic number, because the mean of its divisors is an integer number (1180920).

It is a vampire number, since it can be written as 43117290 (with its own digits).

Almost surely, 231427190 is an apocalyptic number.

31427190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31427190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42513120).

31427190 is an abundant number, since it is smaller than the sum of its proper divisors (53599050).

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

31427190 is an frugal number, since it uses more digits than its factorization.

31427190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31427190 is about 5605.9958972514. The cubic root of 31427190 is about 315.5744619275.

The spelling of 31427190 in words is "thirty-one million, four hundred twenty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 479 486 729 810 958 1215 1437 1458 2187 2395 2430 2874 3645 4311 4374 4790 6561 7185 7290 8622 10935 12933 13122 14370 21555 21870 25866 32805 38799 43110 64665 65610 77598 116397 129330 193995 232794 349191 387990 581985 698382 1047573 1163970 1745955 2095146 3142719 3491910 5237865 6285438 10475730 15713595 31427190