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31066740 = 22345127151
BaseRepresentation
bin111011010000…
…0101001110100
32011110100120000
41312200221310
530423113430
63025511300
7525030405
oct166405164
964410500
1031066740
11165999a1
12a4a2530
1365896b3
1441a99ac
152ad9e60
hex1da0a74

31066740 has 120 divisors (see below), whose sum is σ = 98875392. Its totient is φ = 8164800.

The previous prime is 31066699. The next prime is 31066741. The reversal of 31066740 is 4766013.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31066741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205665 + ... + 205815.

Almost surely, 231066740 is an apocalyptic number.

31066740 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 31066740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49437696).

31066740 is an abundant number, since it is smaller than the sum of its proper divisors (67808652).

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

31066740 is a wasteful number, since it uses less digits than its factorization.

31066740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31066740 is about 5573.7545694083. The cubic root of 31066740 is about 314.3633399362.

The spelling of 31066740 in words is "thirty-one million, sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 151 162 180 254 270 302 324 381 405 453 508 540 604 635 755 762 810 906 1143 1270 1359 1510 1524 1620 1812 1905 2265 2286 2540 2718 3020 3429 3810 4077 4530 4572 5436 5715 6795 6858 7620 8154 9060 10287 11430 12231 13590 13716 16308 17145 19177 20385 20574 22860 24462 27180 34290 38354 40770 41148 48924 51435 57531 61155 68580 76708 81540 95885 102870 115062 122310 172593 191770 205740 230124 244620 287655 345186 383540 517779 575310 690372 862965 1035558 1150620 1553337 1725930 2071116 2588895 3106674 3451860 5177790 6213348 7766685 10355580 15533370 31066740