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40968360 = 23325313671
BaseRepresentation
bin1001110001001…
…0000010101000
32212002102000200
42130102002220
540441441420
64022032200
71005140166
oct234220250
985072020
1040968360
1121142154
1211878660
138645544
145626236
1538e3b90
hex27120a8

40968360 has 96 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 10569600.

The previous prime is 40968331. The next prime is 40968371. The reversal of 40968360 is 6386904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9325 + ... + 12995.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 240968360 is an apocalyptic number.

40968360 is a gapful number since it is divisible by the number (40) 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 40968360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

40968360 is an abundant number, since it is smaller than the sum of its proper divisors (96511320).

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

40968360 is a wasteful number, since it uses less digits than its factorization.

40968360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40968360 is about 6400.6530916774. The cubic root of 40968360 is about 344.7330007290.

It can be divided in two parts, 40968 and 360, that added together give a triangular number (41328 = T287).

The spelling of 40968360 in words is "forty million, nine hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3671 3720 5580 7342 11013 11160 14684 18355 22026 29368 33039 36710 44052 55065 66078 73420 88104 110130 113801 132156 146840 165195 220260 227602 264312 330390 341403 440520 455204 569005 660780 682806 910408 1024209 1138010 1321560 1365612 1707015 2048418 2276020 2731224 3414030 4096836 4552040 5121045 6828060 8193672 10242090 13656120 20484180 40968360