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107228628 = 2232131931389
BaseRepresentation
bin1100110010000…
…10110111010100
321110202210000200
412121002313110
5204422304003
614350140500
72441266623
oct631026724
9243683020
10107228628
1155589501
122bab1730
13192a4ac0
14103536ba
1596316a3
hex6642dd4

107228628 has 144 divisors (see below), whose sum is σ = 317990400. Its totient is φ = 30170880.

The previous prime is 107228623. The next prime is 107228629. The reversal of 107228628 is 826822701.

It is a happy number.

107228628 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 28 + 628 = 666.

It is a super-2 number, since 2×1072286282 = 22995957325524768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107228592 and 107228601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107228623) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 275458 + ... + 275846.

Almost surely, 2107228628 is an apocalyptic number.

107228628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107228628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158995200).

107228628 is an abundant number, since it is smaller than the sum of its proper divisors (210761772).

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

107228628 is a wasteful number, since it uses less digits than its factorization.

107228628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107228628 is about 10355.1256873106. The cubic root of 107228628 is about 475.0838308182.

The spelling of 107228628 in words is "one hundred seven million, two hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 114 117 124 156 171 186 228 234 247 279 342 372 389 403 468 494 558 589 684 741 778 806 988 1116 1167 1178 1209 1482 1556 1612 1767 2223 2334 2356 2418 2964 3501 3534 3627 4446 4668 4836 5057 5301 7002 7068 7254 7391 7657 8892 10114 10602 12059 14004 14508 14782 15171 15314 20228 21204 22173 22971 24118 29564 30342 30628 36177 44346 45513 45942 48236 60684 66519 68913 72354 88692 91026 91884 96083 108531 133038 137826 144708 156767 182052 192166 217062 229121 266076 275652 288249 313534 384332 434124 458242 470301 576498 627068 687363 864747 916484 940602 1152996 1374726 1410903 1729494 1881204 2062089 2749452 2821806 2978573 3458988 4124178 5643612 5957146 8248356 8935719 11914292 17871438 26807157 35742876 53614314 107228628