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31465140 = 22357193943
BaseRepresentation
bin111100000000…
…1111010110100
32012012121001120
41320001322310
531023341030
63042223540
7531310050
oct170017264
965177046
1031465140
1116841253
12a654bb0
136698b35
144270c60
152b68010
hex1e01eb4

31465140 has 96 divisors (see below), whose sum is σ = 106014720. Its totient is φ = 6811776.

The previous prime is 31465129. The next prime is 31465153. The reversal of 31465140 is 4156413.

It is a self number, because there is not a number n which added to its sum of digits gives 31465140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6009 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (1104320).

Almost surely, 231465140 is an apocalyptic number.

31465140 is a gapful number since it is divisible by the number (30) 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 31465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53007360).

31465140 is an abundant number, since it is smaller than the sum of its proper divisors (74549580).

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

31465140 is a wasteful number, since it uses less digits than its factorization.

31465140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 31465140 is about 5609.3796448449. The cubic root of 31465140 is about 315.7014351365.

The spelling of 31465140 in words is "thirty-one million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3943 3990 7886 7980 11829 15772 19715 23658 27601 39430 47316 55202 59145 74917 78860 82803 110404 118290 138005 149834 165606 224751 236580 276010 299668 331212 374585 414015 449502 524419 552020 749170 828030 899004 1048838 1123755 1498340 1573257 1656060 2097676 2247510 2622095 3146514 4495020 5244190 6293028 7866285 10488380 15732570 31465140