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31425680 = 24511134167
BaseRepresentation
bin111011111100…
…0010010010000
32012010120221002
41313320102100
531021110210
63041321132
7531054026
oct167702220
965116832
1031425680
1116814640
12a6361a8
136683ba0
144260716
152b5b4a5
hex1df8490

31425680 has 160 divisors (see below), whose sum is σ = 89244288. Its totient is φ = 10137600.

The previous prime is 31425643. The next prime is 31425683. The reversal of 31425680 is 8652413.

It is not an unprimeable number, because it can be changed into a prime (31425683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469007 + ... + 469073.

Almost surely, 231425680 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 31425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44622144).

31425680 is an abundant number, since it is smaller than the sum of its proper divisors (57818608).

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

31425680 is a wasteful number, since it uses less digits than its factorization.

31425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 31425680 is about 5605.8612184035. The cubic root of 31425680 is about 315.5694076516.

The spelling of 31425680 in words is "thirty-one million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 41 44 52 55 65 67 80 82 88 104 110 130 134 143 164 176 205 208 220 260 268 286 328 335 410 440 451 520 533 536 572 656 670 715 737 820 871 880 902 1040 1066 1072 1144 1340 1430 1474 1640 1742 1804 2132 2255 2288 2665 2680 2747 2860 2948 3280 3484 3608 3685 4264 4355 4510 5330 5360 5494 5720 5863 5896 6968 7216 7370 8528 8710 9020 9581 10660 10988 11440 11726 11792 13735 13936 14740 17420 18040 19162 21320 21976 23452 27470 29315 29480 30217 34840 35711 36080 38324 42640 43952 46904 47905 54940 58630 58960 60434 69680 71422 76648 93808 95810 109880 117260 120868 142844 151085 153296 178555 191620 219760 234520 241736 285688 302170 357110 383240 392821 469040 483472 571376 604340 714220 766480 785642 1208680 1428440 1571284 1964105 2417360 2856880 3142568 3928210 6285136 7856420 15712840 31425680