Search a number
-
+
109996800 = 2835217337
BaseRepresentation
bin1101000111001…
…10101100000000
321122222102020120
412203212230000
5211124344200
614525340240
72503646244
oct643465400
9248872216
10109996800
11570aa251
1230a07680
1319a33a84
1410874424
1599cb9a0
hex68e6b00

109996800 has 216 divisors, whose sum is σ = 385506576. Its totient is φ = 27525120.

The previous prime is 109996793. The next prime is 109996811. The reversal of 109996800 is 8699901.

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 23 ways as a sum of consecutive naturals, for example, 326232 + ... + 326568.

Almost surely, 2109996800 is an apocalyptic number.

109996800 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 109996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192753288).

109996800 is an abundant number, since it is smaller than the sum of its proper divisors (275509776).

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

109996800 is a wasteful number, since it uses less digits than its factorization.

109996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 109996800 is about 10487.9359265777. The cubic root of 109996800 is about 479.1373394359.

The spelling of 109996800 in words is "one hundred nine million, nine hundred ninety-six thousand, eight hundred".