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31065320 = 23511135431
BaseRepresentation
bin111011010000…
…0010011101000
32011110021121102
41312200103220
530423042240
63025500532
7525023306
oct166402350
964407542
1031065320
1116598920
12a4a1748
136588b60
1441a9276
152ad9815
hex1da04e8

31065320 has 64 divisors (see below), whose sum is σ = 82131840. Its totient is φ = 10425600.

The previous prime is 31065313. The next prime is 31065337. The reversal of 31065320 is 2356013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31065292 and 31065301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3005 + ... + 8435.

It is an arithmetic number, because the mean of its divisors is an integer number (1283310).

Almost surely, 231065320 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 31065320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065920).

31065320 is an abundant number, since it is smaller than the sum of its proper divisors (51066520).

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

31065320 is a wasteful number, since it uses less digits than its factorization.

31065320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 31065320 is about 5573.6271852358. The cubic root of 31065320 is about 314.3585502185.

The spelling of 31065320 in words is "thirty-one million, sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5431 5720 10862 21724 27155 43448 54310 59741 70603 108620 119482 141206 217240 238964 282412 298705 353015 477928 564824 597410 706030 776633 1194820 1412060 1553266 2389640 2824120 3106532 3883165 6213064 7766330 15532660 31065320