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83704640 = 265261577
BaseRepresentation
bin1001111110100…
…11101101000000
312211111122011212
410333103231000
5132412022030
612150025252
72034322565
oct477235500
9184448155
1083704640
1143281598
1224048228
1314459696
14b18c86c
157536595
hex4fd3b40

83704640 has 28 divisors (see below), whose sum is σ = 199322436. Its totient is φ = 33481728.

The previous prime is 83704601. The next prime is 83704667. The reversal of 83704640 is 4640738.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34480384 + 49224256 = 5872^2 + 7016^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 83704597 and 83704606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130469 + ... + 131108.

Almost surely, 283704640 is an apocalyptic number.

83704640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83704640 is an abundant number, since it is smaller than the sum of its proper divisors (115617796).

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

83704640 is a wasteful number, since it uses less digits than its factorization.

83704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261594 (or 261584 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 83704640 is about 9149.0239916616. The cubic root of 83704640 is about 437.4380037322.

The spelling of 83704640 in words is "eighty-three million, seven hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 261577 523154 1046308 1307885 2092616 2615770 4185232 5231540 8370464 10463080 16740928 20926160 41852320 83704640