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31109940 = 22335531087
BaseRepresentation
bin111011010101…
…1001100110100
32011112112211000
41312223030310
530431004230
63030443300
7525300351
oct166531464
964475730
1031109940
11166193a4
12a503530
1365a3264
1441bb628
152ae7b60
hex1dab334

31109940 has 96 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 8131968.

The previous prime is 31109921. The next prime is 31109951. The reversal of 31109940 is 4990113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28077 + ... + 29163.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 231109940 is an apocalyptic number.

31109940 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 31109940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

31109940 is an abundant number, since it is smaller than the sum of its proper divisors (67593420).

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

31109940 is a wasteful number, since it uses less digits than its factorization.

31109940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 31109940 is about 5577.6285283264. The cubic root of 31109940 is about 314.5089855831.

The spelling of 31109940 in words is "thirty-one million, one hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1087 1431 1590 1908 2174 2385 2862 3180 3261 4348 4770 5435 5724 6522 7155 9540 9783 10870 13044 14310 16305 19566 21740 28620 29349 32610 39132 48915 57611 58698 65220 97830 115222 117396 146745 172833 195660 230444 288055 293490 345666 518499 576110 586980 691332 864165 1036998 1152220 1555497 1728330 2073996 2592495 3110994 3456660 5184990 6221988 7777485 10369980 15554970 31109940