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114383680 = 2652711319
BaseRepresentation
bin1101101000101…
…01101101000000
321222020021220121
412310111231000
5213240234210
615203350024
72556150055
oct664255500
9258207817
10114383680
1159626174
1232382314
131a90b768
141129702c
15a0966da
hex6d15b40

114383680 has 56 divisors (see below), whose sum is σ = 273588480. Its totient is φ = 45550080.

The previous prime is 114383677. The next prime is 114383681. The reversal of 114383680 is 86383411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114383681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86061 + ... + 87379.

Almost surely, 2114383680 is an apocalyptic number.

114383680 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 114383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136794240).

114383680 is an abundant number, since it is smaller than the sum of its proper divisors (159204800).

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

114383680 is a wasteful number, since it uses less digits than its factorization.

114383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 114383680 is about 10695.0306217420. The cubic root of 114383680 is about 485.4241232827.

The spelling of 114383680 in words is "one hundred fourteen million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 271 320 542 1084 1319 1355 2168 2638 2710 4336 5276 5420 6595 8672 10552 10840 13190 17344 21104 21680 26380 42208 43360 52760 84416 86720 105520 211040 357449 422080 714898 1429796 1787245 2859592 3574490 5719184 7148980 11438368 14297960 22876736 28595920 57191840 114383680