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69900864 = 26311231439
BaseRepresentation
bin1000010101010…
…01101001000000
311212112022221220
410022221221000
5120343311424
610534115040
71506101415
oct412515100
9155468856
1069900864
1136503610
121b4aba80
1311635677
1493d810c
15620b579
hex42a9a40

69900864 has 112 divisors (see below), whose sum is σ = 210677760. Its totient is φ = 20247040.

The previous prime is 69900833. The next prime is 69900871. The reversal of 69900864 is 46800996.

It is a super-2 number, since 2×699008642 = 9772261575892992, which contains 22 as substring.

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, 47857 + ... + 49295.

Almost surely, 269900864 is an apocalyptic number.

69900864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

69900864 is an abundant number, since it is smaller than the sum of its proper divisors (140776896).

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

69900864 is a wasteful number, since it uses less digits than its factorization.

69900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 69900864 is about 8360.6736570685. The cubic root of 69900864 is about 411.9338819968.

The spelling of 69900864 in words is "sixty-nine million, nine hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1439 1472 1518 2024 2112 2208 2878 3036 4048 4317 4416 5756 6072 8096 8634 11512 12144 15829 16192 17268 23024 24288 31658 33097 34536 46048 47487 48576 63316 66194 69072 92096 94974 99291 126632 132388 138144 189948 198582 253264 264776 276288 364067 379896 397164 506528 529552 728134 759792 794328 1013056 1059104 1092201 1456268 1519584 1588656 2118208 2184402 2912536 3039168 3177312 4368804 5825072 6354624 8737608 11650144 17475216 23300288 34950432 69900864