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99369696 = 25319157347
BaseRepresentation
bin1011110110001…
…00001011100000
320220222111121010
411323010023200
5200414312241
613505500520
72314425366
oct573041340
9226874533
1099369696
1151100a18
1229341740
131778294a
14d2a9636
158accd16
hex5ec42e0

99369696 has 96 divisors (see below), whose sum is σ = 277119360. Its totient is φ = 31090176.

The previous prime is 99369667. The next prime is 99369707. The reversal of 99369696 is 69696399.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 286195 + ... + 286541.

It is an arithmetic number, because the mean of its divisors is an integer number (2886660).

Almost surely, 299369696 is an apocalyptic number.

99369696 is a gapful number since it is divisible by the number (96) 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 99369696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138559680).

99369696 is an abundant number, since it is smaller than the sum of its proper divisors (177749664).

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

99369696 is a wasteful number, since it uses less digits than its factorization.

99369696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 57.

The square root of 99369696 is about 9968.4349824835. The cubic root of 99369696 is about 463.1816232370.

Adding to 99369696 its sum of digits (57), we get a triangular number (99369753 = T14097).

The spelling of 99369696 in words is "ninety-nine million, three hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 157 228 304 314 347 456 471 608 628 694 912 942 1041 1256 1388 1824 1884 2082 2512 2776 2983 3768 4164 5024 5552 5966 6593 7536 8328 8949 11104 11932 13186 15072 16656 17898 19779 23864 26372 33312 35796 39558 47728 52744 54479 71592 79116 95456 105488 108958 143184 158232 163437 210976 217916 286368 316464 326874 435832 632928 653748 871664 1035101 1307496 1743328 2070202 2614992 3105303 4140404 5229984 6210606 8280808 12421212 16561616 24842424 33123232 49684848 99369696