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107229642 = 231317193419
BaseRepresentation
bin1100110010000…
…11000111001010
321110202211102020
412121003013022
5204422322032
614350145310
72441302602
oct631030712
9243684366
10107229642
115558a243
122bab2236
13192a53c0
1410353c02
159631b2c
hex66431ca

107229642 has 64 divisors (see below), whose sum is σ = 246395520. Its totient is φ = 30818304.

The previous prime is 107229631. The next prime is 107229677. The reversal of 107229642 is 246922701.

It is a super-2 number, since 2×1072296422 = 22996392246896328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255709 + ... + 256127.

It is an arithmetic number, because the mean of its divisors is an integer number (3849930).

Almost surely, 2107229642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107229642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123197760).

107229642 is an abundant number, since it is smaller than the sum of its proper divisors (139165878).

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

107229642 is a wasteful number, since it uses less digits than its factorization.

107229642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 107229642 is about 10355.1746484548. The cubic root of 107229642 is about 475.0853283458.

The spelling of 107229642 in words is "one hundred seven million, two hundred twenty-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 193 221 386 419 442 579 663 838 1158 1257 1326 2509 2514 3281 5018 5447 6562 7123 7527 9843 10894 14246 15054 16341 19686 21369 32682 42653 42738 80867 85306 92599 127959 161734 185198 242601 255918 277797 485202 555594 1051271 1374739 2102542 2749478 3153813 4124217 6307626 8248434 17871607 35743214 53614821 107229642