Search a number
-
+
31696140 = 22357210781
BaseRepresentation
bin111100011101…
…0010100001100
32012122022221010
41320322110030
531103234030
63051205220
7533261400
oct170722414
965568833
1031696140
1116989863
12a746810
13674a018
1442d1100
152bb16b0
hex1e3a50c

31696140 has 72 divisors (see below), whose sum is σ = 103248432. Its totient is φ = 7244160.

The previous prime is 31696129. The next prime is 31696141. The reversal of 31696140 is 4169613.

It is a super-3 number, since 3×316961403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31696098 and 31696107.

It is not an unprimeable number, because it can be changed into a prime (31696141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451 + ... + 8330.

It is an arithmetic number, because the mean of its divisors is an integer number (1434006).

Almost surely, 231696140 is an apocalyptic number.

31696140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31696140 is an abundant number, since it is smaller than the sum of its proper divisors (71552292).

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

31696140 is a wasteful number, since it uses less digits than its factorization.

31696140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10807 (or 10798 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 31696140 is about 5629.9325040359. The cubic root of 31696140 is about 316.4721218104.

The spelling of 31696140 in words is "thirty-one million, six hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 10781 21562 32343 43124 53905 64686 75467 107810 129372 150934 161715 215620 226401 301868 323430 377335 452802 528269 646860 754670 905604 1056538 1132005 1509340 1584807 2113076 2264010 2641345 3169614 4528020 5282690 6339228 7924035 10565380 15848070 31696140