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107051928 = 23319317573
BaseRepresentation
bin1100110000101…
…11101110011000
321110102210122020
412120113232120
5204401130203
614342254440
72436632514
oct630275630
9243383566
10107051928
1155478775
122ba27420
1319242549
1410309144
1595e9153
hex6617b98

107051928 has 64 divisors (see below), whose sum is σ = 290841600. Its totient is φ = 32711040.

The previous prime is 107051921. The next prime is 107051933. The reversal of 107051928 is 829150701.

It is a super-2 number, since 2×1070519282 = 22920230577034368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107051921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10350 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (4544400).

Almost surely, 2107051928 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 107051928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145420800).

107051928 is an abundant number, since it is smaller than the sum of its proper divisors (183789672).

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

107051928 is a wasteful number, since it uses less digits than its factorization.

107051928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7632 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 107051928 is about 10346.5901629474. The cubic root of 107051928 is about 474.8227268312.

The spelling of 107051928 in words is "one hundred seven million, fifty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 7573 14136 15146 22719 30292 45438 60584 90876 143887 181752 234763 287774 431661 469526 575548 704289 863322 939052 1151096 1408578 1726644 1878104 2817156 3453288 4460497 5634312 8920994 13381491 17841988 26762982 35683976 53525964 107051928