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108223680 = 2635791427
BaseRepresentation
bin1100111001101…
…01110011000000
321112122022222110
412130311303000
5210201124210
614423335320
72452612635
oct634656300
9245568873
10108223680
11560a9064
12302b1540
13195629a6
141053218c
15977b420
hex6735cc0

108223680 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 28474368.

The previous prime is 108223637. The next prime is 108223681. The reversal of 108223680 is 86322801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (108223681) 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 15 ways as a sum of consecutive naturals, for example, 75127 + ... + 76553.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2108223680 is an apocalyptic number.

108223680 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 108223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

108223680 is an abundant number, since it is smaller than the sum of its proper divisors (239979840).

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

108223680 is a wasteful number, since it uses less digits than its factorization.

108223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 108223680 is about 10403.0610879683. The cubic root of 108223680 is about 476.5488572750.

The spelling of 108223680 in words is "one hundred eight million, two hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1427 1580 1896 2370 2528 2854 3160 3792 4281 4740 5056 5708 6320 7135 7584 8562 9480 11416 12640 14270 15168 17124 18960 21405 22832 25280 28540 34248 37920 42810 45664 57080 68496 75840 85620 91328 112733 114160 136992 171240 225466 228320 273984 338199 342480 450932 456640 563665 676398 684960 901864 1127330 1352796 1369920 1690995 1803728 2254660 2705592 3381990 3607456 4509320 5411184 6763980 7214912 9018640 10822368 13527960 18037280 21644736 27055920 36074560 54111840 108223680