Search a number
-
+
31064670 = 23257133793
BaseRepresentation
bin111011010000…
…0001001011110
32011110020201100
41312200021132
530423032140
63025453530
7525021360
oct166401136
964406640
1031064670
111659838a
12a4a12a6
136588780
1441a8d30
152ad9530
hex1da025e

31064670 has 96 divisors (see below), whose sum is σ = 99433152. Its totient is φ = 6552576.

The previous prime is 31064653. The next prime is 31064689. The reversal of 31064670 is 7646013.

31064670 is a `hidden beast` number, since 3 + 10 + 646 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6294 + ... + 10086.

It is an arithmetic number, because the mean of its divisors is an integer number (1035762).

Almost surely, 231064670 is an apocalyptic number.

31064670 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 31064670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49716576).

31064670 is an abundant number, since it is smaller than the sum of its proper divisors (68368482).

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

31064670 is a wasteful number, since it uses less digits than its factorization.

31064670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31064670 is about 5573.5688746081. The cubic root of 31064670 is about 314.3563576934.

It can be divided in two parts, 3106 and 4670, that added together give a 5-th power (7776 = 65).

The spelling of 31064670 in words is "thirty-one million, sixty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 3793 4095 7586 8190 11379 18965 22758 26551 34137 37930 49309 53102 56895 68274 79653 98618 113790 132755 147927 159306 170685 238959 246545 265510 295854 341370 345163 398265 443781 477918 493090 690326 739635 796530 887562 1035489 1194795 1479270 1725815 2070978 2218905 2389590 3106467 3451630 4437810 5177445 6212934 10354890 15532335 31064670