Search a number
-
+
31696920 = 233651087
BaseRepresentation
bin111100011101…
…0100000011000
32012122101000000
41320322200120
531103300140
63051213000
7533263563
oct170724030
965571000
1031696920
111698a402
12a747160
13674a498
1442d14da
152bb1a30
hex1e3a818

31696920 has 112 divisors (see below), whose sum is σ = 107026560. Its totient is φ = 8444736.

The previous prime is 31696909. The next prime is 31696927. The reversal of 31696920 is 2969613.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31696927) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 28617 + ... + 29703.

Almost surely, 231696920 is an apocalyptic number.

31696920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31696920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53513280).

31696920 is an abundant number, since it is smaller than the sum of its proper divisors (75329640).

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

31696920 is a wasteful number, since it uses less digits than its factorization.

31696920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 31696920 is about 5630.0017761987. The cubic root of 31696920 is about 316.4747177756.

The spelling of 31696920 in words is "thirty-one million, six hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1087 1215 1458 1620 1944 2174 2430 2916 3240 3261 3645 4348 4860 5435 5832 6522 7290 8696 9720 9783 10870 13044 14580 16305 19566 21740 26088 29160 29349 32610 39132 43480 48915 58698 65220 78264 88047 97830 117396 130440 146745 176094 195660 234792 264141 293490 352188 391320 440235 528282 586980 704376 792423 880470 1056564 1173960 1320705 1584846 1760940 2113128 2641410 3169692 3521880 3962115 5282820 6339384 7924230 10565640 15848460 31696920