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108228736 = 2771179139
BaseRepresentation
bin1100111001101…
…11000010000000
321112122120220201
412130313002000
5210201304421
614423414544
72452633450
oct634670200
9245576821
10108228736
1156101940
12302b4454
1319565095
1410533d60
15977cb91
hex6737080

108228736 has 128 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 41333760.

The previous prime is 108228709. The next prime is 108228787. The reversal of 108228736 is 637822801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 108228695 and 108228704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778555 + ... + 778693.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2108228736 is an apocalyptic number.

108228736 is a gapful number since it is divisible by the number (16) 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 108228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

108228736 is an abundant number, since it is smaller than the sum of its proper divisors (165947264).

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

108228736 is a wasteful number, since it uses less digits than its factorization.

108228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 108228736 is about 10403.3040905282. The cubic root of 108228736 is about 476.5562783049.

The spelling of 108228736 in words is "one hundred eight million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 79 88 112 128 139 154 158 176 224 278 308 316 352 448 553 556 616 632 704 869 896 973 1106 1112 1232 1264 1408 1529 1738 1946 2212 2224 2464 2528 3058 3476 3892 4424 4448 4928 5056 6083 6116 6952 7784 8848 8896 9856 10112 10703 10981 12166 12232 13904 15568 17696 17792 21406 21962 24332 24464 27808 31136 35392 42812 43924 48664 48928 55616 62272 70784 76867 85624 87848 97328 97856 111232 120791 124544 153734 171248 175696 194656 195712 241582 307468 342496 351392 389312 483164 614936 684992 702784 778624 845537 966328 1229872 1369984 1405568 1691074 1932656 2459744 3382148 3865312 4919488 6764296 7730624 9838976 13528592 15461248 27057184 54114368 108228736