Search a number
-
+
40537860 = 223511173613
BaseRepresentation
bin1001101010100…
…0111100000100
32211021112111020
42122220330010
540334202420
64004511140
71001365116
oct232507404
984245436
1040537860
1120978770
12116ab4b0
1385245cc
1455533b6
15385b340
hex26a8f04

40537860 has 96 divisors (see below), whose sum is σ = 131144832. Its totient is φ = 9246720.

The previous prime is 40537841. The next prime is 40537867. The reversal of 40537860 is 6873504.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (40537867) by changing a digit.

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, 9414 + ... + 13026.

It is an arithmetic number, because the mean of its divisors is an integer number (1366092).

Almost surely, 240537860 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 40537860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65572416).

40537860 is an abundant number, since it is smaller than the sum of its proper divisors (90606972).

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

40537860 is a wasteful number, since it uses less digits than its factorization.

40537860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 40537860 is about 6366.9348983636. The cubic root of 40537860 is about 343.5212490219.

The spelling of 40537860 in words is "forty million, five hundred thirty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3613 3740 5610 7226 10839 11220 14452 18065 21678 36130 39743 43356 54195 61421 72260 79486 108390 119229 122842 158972 184263 198715 216780 238458 245684 307105 368526 397430 476916 596145 614210 675631 737052 794860 921315 1192290 1228420 1351262 1842630 2026893 2384580 2702524 3378155 3685260 4053786 6756310 8107572 10134465 13512620 20268930 40537860