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31305690 = 235513991
BaseRepresentation
bin111011101101…
…0111111011010
32011220111100000
41313122333122
531003240230
63034553430
7530044143
oct167327732
964814300
1031305690
1116742479
12a598876
1366413a0
14422caca
152b35b60
hex1ddafda

31305690 has 96 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 7698240.

The previous prime is 31305671. The next prime is 31305731. The reversal of 31305690 is 9650313.

It is a super-2 number, since 2×313056902 = 1960092452752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 31095 + ... + 32085.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 231305690 is an apocalyptic number.

31305690 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 31305690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

31305690 is an abundant number, since it is smaller than the sum of its proper divisors (59688486).

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

31305690 is a wasteful number, since it uses less digits than its factorization.

31305690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 31305690 is about 5595.1487915872. The cubic root of 31305690 is about 315.1672581127.

The spelling of 31305690 in words is "thirty-one million, three hundred five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 991 1053 1170 1215 1755 1982 2106 2430 2973 3159 3510 4955 5265 5946 6318 8919 9910 10530 12883 14865 15795 17838 25766 26757 29730 31590 38649 44595 53514 64415 77298 80271 89190 115947 128830 133785 160542 193245 231894 240813 267570 347841 386490 401355 481626 579735 695682 802710 1043523 1159470 1204065 1739205 2087046 2408130 3130569 3478410 5217615 6261138 10435230 15652845 31305690