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106039488 = 263796991
BaseRepresentation
bin1100101001000…
…00100011000000
321101112100211110
412110200203000
5204121230423
614304443320
72425215012
oct624404300
9241470743
10106039488
1154947045
122b619540
1318c79779
14101241b2
159499193
hex65208c0

106039488 has 56 divisors (see below), whose sum is σ = 284154880. Its totient is φ = 34894080.

The previous prime is 106039477. The next prime is 106039511. The reversal of 106039488 is 884930601.

It is a super-2 number, since 2×1060394882 = 22488746030604288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11673 + ... + 18663.

Almost surely, 2106039488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142077440).

106039488 is an abundant number, since it is smaller than the sum of its proper divisors (178115392).

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

106039488 is an equidigital number, since it uses as much as digits as its factorization.

106039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7085 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 106039488 is about 10297.5476692269. The cubic root of 106039488 is about 473.3211096934.

The spelling of 106039488 in words is "one hundred six million, thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 6991 7584 13982 15168 20973 27964 41946 55928 83892 111856 167784 223712 335568 447424 552289 671136 1104578 1342272 1656867 2209156 3313734 4418312 6627468 8836624 13254936 17673248 26509872 35346496 53019744 106039488