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116751960 = 2332513219101
BaseRepresentation
bin1101111010101…
…11111001011000
322010200121120200
412331113321120
5214342030320
615330222200
72615242503
oct675277130
9263617520
10116751960
115a9a3526
1233124960
131b25a700
141171213a
15a3b3290
hex6f57e58

116751960 has 288 divisors, whose sum is σ = 436784400. Its totient is φ = 26956800.

The previous prime is 116751953. The next prime is 116751961. The reversal of 116751960 is 69157611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116751961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1155910 + ... + 1156010.

Almost surely, 2116751960 is an apocalyptic number.

116751960 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 116751960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218392200).

116751960 is an abundant number, since it is smaller than the sum of its proper divisors (320032440).

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

116751960 is a wasteful number, since it uses less digits than its factorization.

116751960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 116751960 is about 10805.1820900899. The cubic root of 116751960 is about 488.7514513424.

It can be divided in two parts, 116751 and 960, that added together give a palindrome (117711).

The spelling of 116751960 in words is "one hundred sixteen million, seven hundred fifty-one thousand, nine hundred sixty".