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99669504 = 2931117347
BaseRepresentation
bin1011111000011…
…01011000000000
320221112201212010
411330031120000
5201003411004
613520132520
72320114434
oct574153000
9227481763
1099669504
11512961a0
1229467140
131785924c
14d3469c4
158b3ba89
hex5f0d600

99669504 has 160 divisors (see below), whose sum is σ = 307587456. Its totient is φ = 28344320.

The previous prime is 99669461. The next prime is 99669539. The reversal of 99669504 is 40596699.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287059 + ... + 287405.

Almost surely, 299669504 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 99669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153793728).

99669504 is an abundant number, since it is smaller than the sum of its proper divisors (207917952).

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

99669504 is a wasteful number, since it uses less digits than its factorization.

99669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 99669504 is about 9983.4615239405. The cubic root of 99669504 is about 463.6469768218.

It can be divided in two parts, 996 and 69504, that added together give a triangular number (70500 = T375).

The spelling of 99669504 in words is "ninety-nine million, six hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 347 352 374 384 408 512 528 544 561 694 704 748 768 816 1041 1056 1088 1122 1388 1408 1496 1536 1632 2082 2112 2176 2244 2776 2816 2992 3264 3817 4164 4224 4352 4488 5552 5632 5899 5984 6528 7634 8328 8448 8704 8976 11104 11451 11798 11968 13056 15268 16656 16896 17697 17952 22208 22902 23596 23936 26112 30536 33312 35394 35904 44416 45804 47192 47872 61072 64889 66624 70788 71808 88832 91608 94384 95744 122144 129778 133248 141576 143616 177664 183216 188768 194667 244288 259556 266496 283152 287232 366432 377536 389334 488576 519112 532992 566304 732864 755072 778668 977152 1038224 1132608 1465728 1510144 1557336 1954304 2076448 2265216 2931456 3020288 3114672 4152896 4530432 5862912 6229344 8305792 9060864 12458688 16611584 24917376 33223168 49834752 99669504