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31146060 = 223511411151
BaseRepresentation
bin111011011010…
…0000001001100
32011121101100210
41312310001030
530433133220
63031322420
7525510561
oct166640114
964541323
1031146060
1116643550
12a520410
1365b682a
1441ca868
152b036e0
hex1db404c

31146060 has 96 divisors (see below), whose sum is σ = 97542144. Its totient is φ = 7360000.

The previous prime is 31146053. The next prime is 31146079. The reversal of 31146060 is 6064113.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26485 + ... + 27635.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 231146060 is an apocalyptic number.

31146060 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 31146060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072).

31146060 is an abundant number, since it is smaller than the sum of its proper divisors (66396084).

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

31146060 is a wasteful number, since it uses less digits than its factorization.

31146060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 31146060 is about 5580.8655242713. The cubic root of 31146060 is about 314.6306580655.

The spelling of 31146060 in words is "thirty-one million, one hundred forty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1151 1230 1353 1804 2255 2302 2460 2706 3453 4510 4604 5412 5755 6765 6906 9020 11510 12661 13530 13812 17265 23020 25322 27060 34530 37983 47191 50644 63305 69060 75966 94382 126610 141573 151932 188764 189915 235955 253220 283146 379830 471910 519101 566292 707865 759660 943820 1038202 1415730 1557303 2076404 2595505 2831460 3114606 5191010 6229212 7786515 10382020 15573030 31146060