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108230496 = 25311113907
BaseRepresentation
bin1100111001101…
…11011101100000
321112122200022220
412130313131200
5210201333441
614423431040
72452641543
oct634673540
9245580286
10108230496
11561031a0
12302b5480
1319565b1a
141053485a
15977d466
hex6737760

108230496 has 96 divisors (see below), whose sum is σ = 313020288. Its totient is φ = 32471040.

The previous prime is 108230491. The next prime is 108230503. The reversal of 108230496 is 694032801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108230491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118875 + ... + 119781.

It is an arithmetic number, because the mean of its divisors is an integer number (3260628).

Almost surely, 2108230496 is an apocalyptic number.

108230496 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 108230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156510144).

108230496 is an abundant number, since it is smaller than the sum of its proper divisors (204789792).

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

108230496 is a wasteful number, since it uses less digits than its factorization.

108230496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 108230496 is about 10403.3886786950. The cubic root of 108230496 is about 476.5588615206.

The spelling of 108230496 in words is "one hundred eight million, two hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 907 1056 1243 1356 1808 1814 2486 2712 2721 3616 3628 3729 4972 5424 5442 7256 7458 9944 9977 10848 10884 14512 14916 19888 19954 21768 29024 29832 29931 39776 39908 43536 59664 59862 79816 87072 102491 119328 119724 159632 204982 239448 307473 319264 409964 478896 614946 819928 957792 1127401 1229892 1639856 2254802 2459784 3279712 3382203 4509604 4919568 6764406 9019208 9839136 13528812 18038416 27057624 36076832 54115248 108230496