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31458040 = 2352947577
BaseRepresentation
bin111100000000…
…0001011111000
32012012020022121
41320000023320
531023124130
63042131024
7531250255
oct170001370
965166277
1031458040
1116836989
12a650a74
136695833
14426c42c
152b65d7a
hex1e002f8

31458040 has 64 divisors (see below), whose sum is σ = 74908800. Its totient is φ = 11870208.

The previous prime is 31458013. The next prime is 31458061. The reversal of 31458040 is 4085413.

It is a junction number, because it is equal to n+sod(n) for n = 31457996 and 31458014.

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, 54232 + ... + 54808.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 231458040 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 31458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454400).

31458040 is an abundant number, since it is smaller than the sum of its proper divisors (43450760).

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

31458040 is a wasteful number, since it uses less digits than its factorization.

31458040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 31458040 is about 5608.7467405830. The cubic root of 31458040 is about 315.6776877046.

The spelling of 31458040 in words is "thirty-one million, four hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 577 580 940 1154 1160 1363 1880 2308 2726 2885 4616 5452 5770 6815 10904 11540 13630 16733 23080 27119 27260 33466 54238 54520 66932 83665 108476 133864 135595 167330 216952 271190 334660 542380 669320 786451 1084760 1572902 3145804 3932255 6291608 7864510 15729020 31458040