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31413240 = 23325711229
BaseRepresentation
bin111011111010…
…1001111111000
32012002221212100
41313311033320
531020210430
63041143400
7531002535
oct167651770
965087770
1031413240
1116806261
12a62ab60
13667b321
144259d8c
152b57960
hex1df53f8

31413240 has 96 divisors (see below), whose sum is σ = 103615200. Its totient is φ = 8252160.

The previous prime is 31413233. The next prime is 31413253. The reversal of 31413240 is 4231413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24946 + ... + 26174.

It is an arithmetic number, because the mean of its divisors is an integer number (1079325).

Almost surely, 231413240 is an apocalyptic number.

31413240 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 31413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51807600).

31413240 is an abundant number, since it is smaller than the sum of its proper divisors (72201960).

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

31413240 is a wasteful number, since it uses less digits than its factorization.

31413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31413240 is about 5604.7515555999. The cubic root of 31413240 is about 315.5277622887.

Adding to 31413240 its reverse (4231413), we get a palindrome (35644653).

The spelling of 31413240 in words is "thirty-one million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1229 1278 1420 1704 2130 2458 2556 2840 3195 3687 4260 4916 5112 6145 6390 7374 8520 9832 11061 12290 12780 14748 18435 22122 24580 25560 29496 36870 44244 49160 55305 73740 87259 88488 110610 147480 174518 221220 261777 349036 436295 442440 523554 698072 785331 872590 1047108 1308885 1570662 1745180 2094216 2617770 3141324 3490360 3926655 5235540 6282648 7853310 10471080 15706620 31413240