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10069696 = 267213219
BaseRepresentation
bin100110011010…
…011011000000
3200221121000201
4212122123000
510034212241
6555454544
7151406500
oct46323300
920847021
1010069696
11575856a
123457454
132117500
1414a1a00
15d3d931
hex99a6c0

10069696 has 126 divisors (see below), whose sum is σ = 26494740. Its totient is φ = 3773952.

The previous prime is 10069687. The next prime is 10069721. The reversal of 10069696 is 69696001.

10069696 = T153 + T154 + ... + T399.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529975 + ... + 529993.

Almost surely, 210069696 is an apocalyptic number.

10069696 is a gapful number since it is divisible by the number (16) 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 10069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247370).

10069696 is an abundant number, since it is smaller than the sum of its proper divisors (16425044).

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

10069696 is a wasteful number, since it uses less digits than its factorization.

10069696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 10069696 is about 3173.2784308976. The cubic root of 10069696 is about 215.9428289479.

It can be divided in two parts, 100 and 69696, that multiplied together give a square (6969600 = 26402).

The spelling of 10069696 in words is "ten million, sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 133 152 169 182 196 208 224 247 266 304 338 364 392 416 448 494 532 608 637 676 728 784 832 931 988 1064 1183 1216 1274 1352 1456 1568 1729 1862 1976 2128 2366 2548 2704 2912 3136 3211 3458 3724 3952 4256 4732 5096 5408 5824 6422 6916 7448 7904 8281 8512 9464 10192 10816 12103 12844 13832 14896 15808 16562 18928 20384 22477 24206 25688 27664 29792 33124 37856 40768 44954 48412 51376 55328 59584 66248 75712 89908 96824 102752 110656 132496 157339 179816 193648 205504 264992 314678 359632 387296 529984 629356 719264 774592 1258712 1438528 2517424 5034848 10069696