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69904640 = 285134201
BaseRepresentation
bin1000010101010…
…10100100000000
311212112112010202
410022222210000
5120343422030
610534144332
71506115421
oct412524400
9155475122
1069904640
1136506433
121b4b20a8
13116372c0
1493d9648
15620c745
hex42aa900

69904640 has 72 divisors (see below), whose sum is σ = 180366648. Its totient is φ = 25804800.

The previous prime is 69904607. The next prime is 69904649. The reversal of 69904640 is 4640996.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 68425984 = 1216^2 + 8272^2 .

It is a junction number, because it is equal to n+sod(n) for n = 69904594 and 69904603.

It is not an unprimeable number, because it can be changed into a prime (69904649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14540 + ... + 18740.

Almost surely, 269904640 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 69904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90183324).

69904640 is an abundant number, since it is smaller than the sum of its proper divisors (110462008).

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

69904640 is a wasteful number, since it uses less digits than its factorization.

69904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 69904640 is about 8360.8994731428. The cubic root of 69904640 is about 411.9412993316.

The spelling of 69904640 in words is "sixty-nine million, nine hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 4201 8320 8402 16640 16804 21005 33608 42010 54613 67216 84020 109226 134432 168040 218452 268864 273065 336080 436904 537728 546130 672160 873808 1075456 1092260 1344320 1747616 2184520 2688640 3495232 4369040 5377280 6990464 8738080 13980928 17476160 34952320 69904640