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108351828 = 2232131271823
BaseRepresentation
bin1100111010101…
…01000101010100
321112212211202200
412131111011110
5210214224303
614430204500
72453655354
oct635250524
9245784680
10108351828
1156186372
1230353730
13195a9110
1410566b64
1597a43a3
hex6755154

108351828 has 72 divisors (see below), whose sum is σ = 297443328. Its totient is φ = 33058368.

The previous prime is 108351821. The next prime is 108351833. The reversal of 108351828 is 828153801.

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 = 108351792 and 108351801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108351821) 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 23 ways as a sum of consecutive naturals, for example, 58525 + ... + 60347.

Almost surely, 2108351828 is an apocalyptic number.

108351828 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 108351828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721664).

108351828 is an abundant number, since it is smaller than the sum of its proper divisors (189091500).

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

108351828 is a wasteful number, since it uses less digits than its factorization.

108351828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 108351828 is about 10409.2184144632. The cubic root of 108351828 is about 476.7368774165.

The spelling of 108351828 in words is "one hundred eight million, three hundred fifty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 1823 2286 3302 3646 4572 4953 5469 6604 7292 9906 10938 14859 16407 19812 21876 23699 29718 32814 47398 59436 65628 71097 94796 142194 213291 231521 284388 426582 463042 694563 853164 926084 1389126 2083689 2778252 3009773 4167378 6019546 8334756 9029319 12039092 18058638 27087957 36117276 54175914 108351828