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31380700 = 225213101239
BaseRepresentation
bin111011110110…
…1010011011100
32012001022020011
41313231103130
531013140300
63040333004
7530505631
oct167552334
965038204
1031380700
111679386a
12a614164
136669580
14424c188
152b4ceba
hex1ded4dc

31380700 has 72 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 11424000.

The previous prime is 31380683. The next prime is 31380709. The reversal of 31380700 is 708313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31380709) 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, 131181 + ... + 131419.

It is an arithmetic number, because the mean of its divisors is an integer number (1032920).

Almost surely, 231380700 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 31380700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

31380700 is an abundant number, since it is smaller than the sum of its proper divisors (42989540).

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

31380700 is a wasteful number, since it uses less digits than its factorization.

31380700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 31380700 is about 5601.8479093956. The cubic root of 31380700 is about 315.4187761774.

The spelling of 31380700 in words is "thirty-one million, three hundred eighty thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 239 260 325 404 478 505 650 956 1010 1195 1300 1313 2020 2390 2525 2626 3107 4780 5050 5252 5975 6214 6565 10100 11950 12428 13130 15535 23900 24139 26260 31070 32825 48278 62140 65650 77675 96556 120695 131300 155350 241390 310700 313807 482780 603475 627614 1206950 1255228 1569035 2413900 3138070 6276140 7845175 15690350 31380700