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104369664 = 293717571
BaseRepresentation
bin1100011100010…
…00111000000000
321021101112021010
412032020320000
5203204312124
614205000520
72405061510
oct616107000
9237345233
10104369664
1153a06523
122ab53140
13188136c9
14dc0b840
159269529
hex6388e00

104369664 has 160 divisors (see below), whose sum is σ = 337049856. Its totient is φ = 28016640.

The previous prime is 104369659. The next prime is 104369669. The reversal of 104369664 is 466963401.

It is an interprime number because it is at equal distance from previous prime (104369659) and next prime (104369669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104369669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182499 + ... + 183069.

Almost surely, 2104369664 is an apocalyptic number.

104369664 is a gapful number since it is divisible by the number (14) 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 104369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168524928).

104369664 is an abundant number, since it is smaller than the sum of its proper divisors (232680192).

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

104369664 is an equidigital number, since it uses as much as digits as its factorization.

104369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 104369664 is about 10216.1472189862. The cubic root of 104369664 is about 470.8234605982.

It can be divided in two parts, 10436 and 9664, that added together give a triangular number (20100 = T200).

The spelling of 104369664 in words is "one hundred four million, three hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 512 544 571 672 714 768 816 896 952 1088 1142 1344 1428 1536 1632 1713 1792 1904 2176 2284 2688 2856 3264 3426 3584 3808 3997 4352 4568 5376 5712 6528 6852 7616 7994 8704 9136 9707 10752 11424 11991 13056 13704 15232 15988 18272 19414 22848 23982 26112 27408 29121 30464 31976 36544 38828 45696 47964 54816 58242 60928 63952 67949 73088 77656 91392 95928 109632 116484 127904 135898 146176 155312 182784 191856 203847 219264 232968 255808 271796 292352 310624 383712 407694 438528 465936 511616 543592 621248 767424 815388 877056 931872 1023232 1087184 1242496 1534848 1630776 1863744 2046464 2174368 2484992 3069696 3261552 3727488 4348736 4969984 6139392 6523104 7454976 8697472 13046208 14909952 17394944 26092416 34789888 52184832 104369664