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113884080 = 24353115307
BaseRepresentation
bin1101100100110…
…11101110110000
321221021220120220
412302123232300
5213123242310
615144533040
72551666362
oct662335660
9257256526
10113884080
1159314882
1232181180
131a79523b
14111a6d32
159ee8670
hex6c9bbb0

113884080 has 80 divisors (see below), whose sum is σ = 364452864. Its totient is φ = 29387520.

The previous prime is 113884079. The next prime is 113884087. The reversal of 113884080 is 80488311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113884087) 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, 214 + ... + 15093.

Almost surely, 2113884080 is an apocalyptic number.

113884080 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 113884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182226432).

113884080 is an abundant number, since it is smaller than the sum of its proper divisors (250568784).

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

113884080 is a wasteful number, since it uses less digits than its factorization.

113884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 113884080 is about 10671.6484199959. The cubic root of 113884080 is about 484.7163537897.

The spelling of 113884080 in words is "one hundred thirteen million, eight hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 15307 30614 45921 61228 76535 91842 122456 153070 183684 229605 244912 306140 367368 459210 474517 612280 734736 918420 949034 1224560 1423551 1836840 1898068 2372585 2847102 3673680 3796136 4745170 5694204 7117755 7592272 9490340 11388408 14235510 18980680 22776816 28471020 37961360 56942040 113884080