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107823828 = 22373147881
BaseRepresentation
bin1100110110101…
…00001011010100
321111220000111010
412123110023110
5210100330303
614411012220
72446326120
oct633241324
9244800433
10107823828
1155955702
123013a070
13194529a8
141046a580
1596ecc03
hex66d42d4

107823828 has 96 divisors (see below), whose sum is σ = 303464448. Its totient is φ = 29145600.

The previous prime is 107823823. The next prime is 107823851. The reversal of 107823828 is 828328701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107823823) 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 31 ways as a sum of consecutive naturals, for example, 121948 + ... + 122828.

It is an arithmetic number, because the mean of its divisors is an integer number (3161088).

Almost surely, 2107823828 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 107823828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151732224).

107823828 is an abundant number, since it is smaller than the sum of its proper divisors (195640620).

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

107823828 is a wasteful number, since it uses less digits than its factorization.

107823828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 107823828 is about 10383.8253066969. The cubic root of 107823828 is about 475.9612342791.

The spelling of 107823828 in words is "one hundred seven million, eight hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 881 987 1302 1316 1457 1762 1974 2604 2643 2914 3524 3948 4371 5286 5828 6167 8742 10199 10572 12334 17484 18501 20398 24668 27311 30597 37002 40796 41407 54622 61194 74004 81933 82814 109244 122388 124221 163866 165628 191177 248442 289849 327732 382354 496884 573531 579698 764708 869547 1147062 1159396 1283617 1739094 2294124 2567234 3478188 3850851 5134468 7701702 8985319 15403404 17970638 26955957 35941276 53911914 107823828