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101926896 = 24317911863
BaseRepresentation
bin1100001001101…
…00011111110000
321002210102102020
412010310133300
5202043130041
614040351440
72345235651
oct604643760
9232712366
10101926896
1152598205
122a175580
1318169896
14d773528
158e35866
hex61347f0

101926896 has 40 divisors (see below), whose sum is σ = 264804480. Its totient is φ = 33782976.

The previous prime is 101926873. The next prime is 101926927. The reversal of 101926896 is 698629101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2661 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (6620112).

Almost surely, 2101926896 is an apocalyptic number.

101926896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101926896 is an abundant number, since it is smaller than the sum of its proper divisors (162877584).

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

101926896 is a wasteful number, since it uses less digits than its factorization.

101926896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12053 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 101926896 is about 10095.8851023573. The cubic root of 101926896 is about 467.1212233085.

The spelling of 101926896 in words is "one hundred one million, nine hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 11863 23726 35589 47452 71178 94904 142356 189808 284712 569424 2123477 4246954 6370431 8493908 12740862 16987816 25481724 33975632 50963448 101926896