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100980192 = 2536311667
BaseRepresentation
bin1100000010011…
…01010111100000
321001000022210010
412001031113200
5201322331232
614004204520
72334213615
oct601152740
9231008703
10100980192
1152000a05
1229999740
1317bc79c1
14d5a850c
158cea0cc
hex604d5e0

100980192 has 48 divisors (see below), whose sum is σ = 265652352. Its totient is φ = 33586560.

The previous prime is 100980181. The next prime is 100980197. The reversal of 100980192 is 291089001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100980197) 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 7 ways as a sum of consecutive naturals, for example, 59743 + ... + 61409.

It is an arithmetic number, because the mean of its divisors is an integer number (5534424).

Almost surely, 2100980192 is an apocalyptic number.

100980192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100980192 is an abundant number, since it is smaller than the sum of its proper divisors (164672160).

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

100980192 is a wasteful number, since it uses less digits than its factorization.

100980192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 100980192 is about 10048.8900879649. The cubic root of 100980192 is about 465.6705045509.

The spelling of 100980192 in words is "one hundred million, nine hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 631 1262 1667 1893 2524 3334 3786 5001 5048 6668 7572 10002 10096 13336 15144 20004 20192 26672 30288 40008 53344 60576 80016 160032 1051877 2103754 3155631 4207508 6311262 8415016 12622524 16830032 25245048 33660064 50490096 100980192