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103507992 = 23327229339
BaseRepresentation
bin1100010101101…
…10100000011000
321012202202021100
412022312200120
5202444223432
614134311400
72364542400
oct612664030
9235682240
10103507992
11534780a5
122a7b8560
13185a1443
14da65800
15914907c
hex62b6818

103507992 has 72 divisors (see below), whose sum is σ = 326114100. Its totient is φ = 29572704.

The previous prime is 103507969. The next prime is 103507997. The reversal of 103507992 is 299705301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103507997) 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 17 ways as a sum of consecutive naturals, for example, 11142 + ... + 18197.

Almost surely, 2103507992 is an apocalyptic number.

103507992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103507992 is an abundant number, since it is smaller than the sum of its proper divisors (222606108).

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

103507992 is a wasteful number, since it uses less digits than its factorization.

103507992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29365 (or 29351 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 103507992 is about 10173.8877524769. The cubic root of 103507992 is about 469.5241781722.

The spelling of 103507992 in words is "one hundred three million, five hundred seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 29339 58678 88017 117356 176034 205373 234712 264051 352068 410746 528102 616119 704136 821492 1056204 1232238 1437611 1642984 1848357 2112408 2464476 2875222 3696714 4312833 4928952 5750444 7393428 8625666 11500888 12938499 14786856 17251332 25876998 34502664 51753996 103507992