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109980360 = 233257192297
BaseRepresentation
bin1101000111000…
…10101011001000
321122221120200200
412203202223020
5211123332420
614525132200
72503550310
oct643425310
9248846620
10109980360
1157098966
12309ba060
1319a29449
141086c440
1599c6b90
hex68e2ac8

109980360 has 192 divisors, whose sum is σ = 430185600. Its totient is φ = 23804928.

The previous prime is 109980359. The next prime is 109980371. The reversal of 109980360 is 63089901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46732 + ... + 49028.

It is an arithmetic number, because the mean of its divisors is an integer number (2240550).

Almost surely, 2109980360 is an apocalyptic number.

109980360 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 109980360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215092800).

109980360 is an abundant number, since it is smaller than the sum of its proper divisors (320205240).

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

109980360 is a wasteful number, since it uses less digits than its factorization.

109980360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109980360 is about 10487.1521396421. The cubic root of 109980360 is about 479.1134678011.

The spelling of 109980360 in words is "one hundred nine million, nine hundred eighty thousand, three hundred sixty".