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73768420 = 22511547613
BaseRepresentation
bin1000110010110…
…01110111100100
312010210211020201
410121121313210
5122341042140
611153040244
71554010165
oct431316744
9163724221
1073768420
1138705340
1220856084
131238ab6b
149b2376c
15672249a
hex4659de4

73768420 has 48 divisors (see below), whose sum is σ = 169581888. Its totient is φ = 26732160.

The previous prime is 73768399. The next prime is 73768433. The reversal of 73768420 is 2486737.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 73768420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120034 + ... + 120646.

It is an arithmetic number, because the mean of its divisors is an integer number (3532956).

Almost surely, 273768420 is an apocalyptic number.

It is an amenable number.

73768420 is an abundant number, since it is smaller than the sum of its proper divisors (95813468).

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

73768420 is a wasteful number, since it uses less digits than its factorization.

73768420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 73768420 is about 8588.8544055654. The cubic root of 73768420 is about 419.3952369442.

The spelling of 73768420 in words is "seventy-three million, seven hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 547 613 1094 1226 2188 2452 2735 3065 5470 6017 6130 6743 10940 12034 12260 13486 24068 26972 30085 33715 60170 67430 120340 134860 335311 670622 1341244 1676555 3353110 3688421 6706220 7376842 14753684 18442105 36884210 73768420