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116730320 = 2457593533
BaseRepresentation
bin1101111010100…
…10100111010000
322010122111220012
412331102213100
5214340332240
615325534052
72615122430
oct675224720
9263574805
10116730320
115a989243
1233114328
131b2508c5
14117082c0
15a3abb65
hex6f529d0

116730320 has 80 divisors (see below), whose sum is σ = 315515520. Its totient is φ = 39332352.

The previous prime is 116730277. The next prime is 116730323. The reversal of 116730320 is 23037611.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116730323) 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, 31274 + ... + 34806.

It is an arithmetic number, because the mean of its divisors is an integer number (3943944).

Almost surely, 2116730320 is an apocalyptic number.

116730320 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 116730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

116730320 is an abundant number, since it is smaller than the sum of its proper divisors (198785200).

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

116730320 is a wasteful number, since it uses less digits than its factorization.

116730320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 116730320 is about 10804.1806723138. The cubic root of 116730320 is about 488.7212527489.

Adding to 116730320 its reverse (23037611), we get a palindrome (139767931).

The spelling of 116730320 in words is "one hundred sixteen million, seven hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 826 944 1180 1652 2065 2360 3304 3533 4130 4720 6608 7066 8260 14132 16520 17665 24731 28264 33040 35330 49462 56528 70660 98924 123655 141320 197848 208447 247310 282640 395696 416894 494620 833788 989240 1042235 1459129 1667576 1978480 2084470 2918258 3335152 4168940 5836516 7295645 8337880 11673032 14591290 16675760 23346064 29182580 58365160 116730320