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31472700 = 22352722141
BaseRepresentation
bin111100000001…
…1110000111100
32012012222102120
41320003300330
531024111300
63042322540
7531341100
oct170036074
965188376
1031472700
11168469a6
12a659450
13669c3cc
144273900
152b6a3a0
hex1e03c3c

31472700 has 108 divisors (see below), whose sum is σ = 105977592. Its totient is φ = 7190400.

The previous prime is 31472699. The next prime is 31472723. The reversal of 31472700 is 727413.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13630 + ... + 15770.

It is an arithmetic number, because the mean of its divisors is an integer number (981274).

Almost surely, 231472700 is an apocalyptic number.

31472700 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 31472700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52988796).

31472700 is an abundant number, since it is smaller than the sum of its proper divisors (74504892).

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

31472700 is a wasteful number, since it uses less digits than its factorization.

31472700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 31472700 is about 5610.0534756810. The cubic root of 31472700 is about 315.7267172077.

The spelling of 31472700 in words is "thirty-one million, four hundred seventy-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2141 2450 2940 3675 4282 4900 6423 7350 8564 10705 12846 14700 14987 21410 25692 29974 32115 42820 44961 53525 59948 64230 74935 89922 104909 107050 128460 149870 160575 179844 209818 214100 224805 299740 314727 321150 374675 419636 449610 524545 629454 642300 749350 899220 1049090 1124025 1258908 1498700 1573635 2098180 2248050 2622725 3147270 4496100 5245450 6294540 7868175 10490900 15736350 31472700