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108083400 = 23352192499
BaseRepresentation
bin1100111000100…
…11100011001000
321112101012112220
412130103203020
5210132132100
614420334040
72451456645
oct634234310
9245335486
10108083400
1156012727
1230244320
1319513b99
14104d6dcc
15974eaa0
hex67138c8

108083400 has 144 divisors (see below), whose sum is σ = 354330000. Its totient is φ = 27250560.

The previous prime is 108083389. The next prime is 108083407. The reversal of 108083400 is 4380801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (108083407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216351 + ... + 216849.

It is an arithmetic number, because the mean of its divisors is an integer number (2460625).

Almost surely, 2108083400 is an apocalyptic number.

108083400 is a gapful number since it is divisible by the number (10) 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 108083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177165000).

108083400 is an abundant number, since it is smaller than the sum of its proper divisors (246246600).

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

108083400 is a wasteful number, since it uses less digits than its factorization.

108083400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 108083400 is about 10396.3166554314. The cubic root of 108083400 is about 476.3428666871.

The spelling of 108083400 in words is "one hundred eight million, eighty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 361 380 456 475 499 570 600 722 760 950 998 1083 1140 1425 1444 1497 1805 1900 1996 2166 2280 2495 2850 2888 2994 3610 3800 3992 4332 4990 5415 5700 5988 7220 7485 8664 9025 9481 9980 10830 11400 11976 12475 14440 14970 18050 18962 19960 21660 24950 27075 28443 29940 36100 37425 37924 43320 47405 49900 54150 56886 59880 72200 74850 75848 94810 99800 108300 113772 142215 149700 180139 189620 216600 227544 237025 284430 299400 360278 379240 474050 540417 568860 711075 720556 900695 948100 1080834 1137720 1422150 1441112 1801390 1896200 2161668 2702085 2844300 3602780 4323336 4503475 5404170 5688600 7205560 9006950 10808340 13510425 18013900 21616680 27020850 36027800 54041700 108083400