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31921400 = 235271512
BaseRepresentation
bin111100111000…
…1010011111000
32020001202221002
41321301103320
531132441100
63100104132
7535220210
oct171612370
966052832
1031921400
1117023025
12a835048
1367c8704
14434d240
152c082d5
hex1e714f8

31921400 has 72 divisors (see below), whose sum is σ = 85385160. Its totient is φ = 10872000.

The previous prime is 31921399. The next prime is 31921403. The reversal of 31921400 is 412913.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31921403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211325 + ... + 211475.

It is an arithmetic number, because the mean of its divisors is an integer number (1185905).

Almost surely, 231921400 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 31921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42692580).

31921400 is an abundant number, since it is smaller than the sum of its proper divisors (53463760).

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

31921400 is a wasteful number, since it uses less digits than its factorization.

31921400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 31921400 is about 5649.9026540287. The cubic root of 31921400 is about 317.2200603571.

The spelling of 31921400 in words is "thirty-one million, nine hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 280 302 350 604 700 755 1057 1208 1400 1510 2114 3020 3775 4228 5285 6040 7550 8456 10570 15100 21140 22801 26425 30200 42280 45602 52850 91204 105700 114005 159607 182408 211400 228010 319214 456020 570025 638428 798035 912040 1140050 1276856 1596070 2280100 3192140 3990175 4560200 6384280 7980350 15960700 31921400