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100987992 = 2333766791
BaseRepresentation
bin1100000010011…
…11010001011000
321001000201111000
412001033101120
5201323103432
614004305000
72334245430
oct601172130
9231021430
10100987992
1152006856
12299a2160
1317bcb411
14d5ab2c0
158cec57c
hex604f458

100987992 has 64 divisors (see below), whose sum is σ = 320601600. Its totient is φ = 28853280.

The previous prime is 100987979. The next prime is 100988011. The reversal of 100987992 is 299789001.

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, 31884 + ... + 34907.

It is an arithmetic number, because the mean of its divisors is an integer number (5009400).

Almost surely, 2100987992 is an apocalyptic number.

100987992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100987992 is an abundant number, since it is smaller than the sum of its proper divisors (219613608).

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

100987992 is a wasteful number, since it uses less digits than its factorization.

100987992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66813 (or 66803 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 100987992 is about 10049.2781830338. The cubic root of 100987992 is about 465.6824941512.

The spelling of 100987992 in words is "one hundred million, nine hundred eighty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 66791 133582 200373 267164 400746 467537 534328 601119 801492 935074 1202238 1402611 1602984 1803357 1870148 2404476 2805222 3606714 3740296 4207833 4808952 5610444 7213428 8415666 11220888 12623499 14426856 16831332 25246998 33662664 50493996 100987992