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103490016 = 2537179059
BaseRepresentation
bin1100010101100…
…10000111100000
321012201211121120
412022302013200
5202443140031
614134052240
72364436110
oct612620740
9235654546
10103490016
1153465643
122a7aa080
13185961c6
14da5d040
159143a96
hex62b21e0

103490016 has 96 divisors (see below), whose sum is σ = 328769280. Its totient is φ = 27826176.

The previous prime is 103490011. The next prime is 103490021. The reversal of 103490016 is 610094301.

It is an interprime number because it is at equal distance from previous prime (103490011) and next prime (103490021).

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103490011) by changing a digit.

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, 6895 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (3424680).

Almost surely, 2103490016 is an apocalyptic number.

103490016 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 103490016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164384640).

103490016 is an abundant number, since it is smaller than the sum of its proper divisors (225279264).

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

103490016 is a wasteful number, since it uses less digits than its factorization.

103490016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 103490016 is about 10173.0042760239. The cubic root of 103490016 is about 469.4969961961.

The spelling of 103490016 in words is "one hundred three million, four hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 9059 11424 18118 27177 36236 54354 63413 72472 108708 126826 144944 154003 190239 217416 253652 289888 308006 380478 434832 462009 507304 616012 760956 869664 924018 1014608 1078021 1232024 1521912 1848036 2029216 2156042 2464048 3043824 3234063 3696072 4312084 4928096 6087648 6468126 7392144 8624168 12936252 14784288 17248336 25872504 34496672 51745008 103490016