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114787680 = 25357127269
BaseRepresentation
bin1101101011110…
…00010101100000
321222222211002120
412311320111200
5213341201210
615220144240
72562451650
oct665702540
9258884076
10114787680
1159881757
1232538080
131aa20607
1411360360
15a126270
hex6d78560

114787680 has 192 divisors, whose sum is σ = 418037760. Its totient is φ = 25933824.

The previous prime is 114787667. The next prime is 114787693. The reversal of 114787680 is 86787411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114787667) and next prime (114787693).

It is a super-2 number, since 2×1147876802 = 26352422959564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426586 + ... + 426854.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2114787680 is an apocalyptic number.

114787680 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 114787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

114787680 is an abundant number, since it is smaller than the sum of its proper divisors (303250080).

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

114787680 is a wasteful number, since it uses less digits than its factorization.

114787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 114787680 is about 10713.9012502449. The cubic root of 114787680 is about 485.9949532914.

The spelling of 114787680 in words is "one hundred fourteen million, seven hundred eighty-seven thousand, six hundred eighty".