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108226560 = 2113513271
BaseRepresentation
bin1100111001101…
…10100000000000
321112122110221010
412130312200000
5210201222220
614423400520
72452624221
oct634664000
9245573833
10108226560
1156100242
12302b3140
13195640b0
1410533248
15977c1e0
hex6736800

108226560 has 192 divisors, whose sum is σ = 374250240. Its totient is φ = 26542080.

The previous prime is 108226553. The next prime is 108226561. The reversal of 108226560 is 65622801.

It is a tau number, because it is divible by the number of its divisors (192).

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 (108226561) 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, 399225 + ... + 399495.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2108226560 is an apocalyptic number.

108226560 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 108226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

108226560 is an abundant number, since it is smaller than the sum of its proper divisors (266023680).

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

108226560 is a wasteful number, since it uses less digits than its factorization.

108226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 108226560 is about 10403.1995078437. The cubic root of 108226560 is about 476.5530844722.

The spelling of 108226560 in words is "one hundred eight million, two hundred twenty-six thousand, five hundred sixty".