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40770756 = 22331371409
BaseRepresentation
bin1001101110000…
…1110011000100
32211201100222000
42123201303010
540414131011
64013505300
71003355115
oct233416304
984640860
1040770756
1121017744
12117a2230
1385a6610
1455b420c
1538a5356
hex26e1cc4

40770756 has 96 divisors (see below), whose sum is σ = 115718400. Its totient is φ = 12337920.

The previous prime is 40770703. The next prime is 40770757. The reversal of 40770756 is 65707704.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40770756.

It is not an unprimeable number, because it can be changed into a prime (40770757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99480 + ... + 99888.

It is an arithmetic number, because the mean of its divisors is an integer number (1205400).

Almost surely, 240770756 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 40770756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57859200).

40770756 is an abundant number, since it is smaller than the sum of its proper divisors (74947644).

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

40770756 is a wasteful number, since it uses less digits than its factorization.

40770756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 40770756 is about 6385.1981958276. The cubic root of 40770756 is about 344.1778533170.

The spelling of 40770756 in words is "forty million, seven hundred seventy thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 156 213 234 284 351 409 426 468 639 702 818 852 923 1227 1278 1404 1636 1846 1917 2454 2556 2769 3681 3692 3834 4908 5317 5538 7362 7668 8307 10634 11043 11076 14724 15951 16614 21268 22086 24921 29039 31902 33228 44172 47853 49842 58078 63804 87117 95706 99684 116156 143559 174234 191412 261351 287118 348468 377507 522702 574236 755014 784053 1045404 1132521 1510028 1568106 2265042 3136212 3397563 4530084 6795126 10192689 13590252 20385378 40770756