Search a number
-
+
31985460 = 223251313669
BaseRepresentation
bin111101000000…
…0111100110100
32020012000210200
41322000330310
531142013320
63101320500
7535605033
oct172007464
966160720
1031985460
1117067171
12a866130
13681b910
14436871a
152c1c290
hex1e80f34

31985460 has 72 divisors (see below), whose sum is σ = 104493480. Its totient is φ = 7872768.

The previous prime is 31985431. The next prime is 31985477. The reversal of 31985460 is 6458913.

31985460 is a `hidden beast` number, since 3 + 198 + 5 + 460 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 29877156 = 1452^2 + 5466^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4495 + ... + 9174.

Almost surely, 231985460 is an apocalyptic number.

31985460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31985460 is an abundant number, since it is smaller than the sum of its proper divisors (72508020).

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

31985460 is a wasteful number, since it uses less digits than its factorization.

31985460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13697 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 31985460 is about 5655.5689368975. The cubic root of 31985460 is about 317.4321180854.

The spelling of 31985460 in words is "thirty-one million, nine hundred eighty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 13669 27338 41007 54676 68345 82014 123021 136690 164028 177697 205035 246042 273380 355394 410070 492084 533091 615105 710788 820140 888485 1066182 1230210 1599273 1776970 2132364 2460420 2665455 3198546 3553940 5330910 6397092 7996365 10661820 15992730 31985460