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193368640 = 265604277
BaseRepresentation
bin10111000011010…
…01001001000000
3111110212010220111
423201221021000
5344000244030
631104321104
74535414653
oct1341511100
9443763814
10193368640
119a1737a3
1254913194
13310a4b1a
141b97789a
1511e9962a
hexb869240

193368640 has 28 divisors (see below), whose sum is σ = 460459836. Its totient is φ = 77347328.

The previous prime is 193368619. The next prime is 193368647. The reversal of 193368640 is 46863391.

It can be written as a sum of positive squares in 2 ways, for example, as 41783296 + 151585344 = 6464^2 + 12312^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 193368593 and 193368602.

It is not an unprimeable number, because it can be changed into a prime (193368647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301819 + ... + 302458.

Almost surely, 2193368640 is an apocalyptic number.

193368640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193368640 is an abundant number, since it is smaller than the sum of its proper divisors (267091196).

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

193368640 is an equidigital number, since it uses as much as digits as its factorization.

193368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604294 (or 604284 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 193368640 is about 13905.7053039391. The cubic root of 193368640 is about 578.2673619313.

The spelling of 193368640 in words is "one hundred ninety-three million, three hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 604277 1208554 2417108 3021385 4834216 6042770 9668432 12085540 19336864 24171080 38673728 48342160 96684320 193368640