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116722144 = 25711127373
BaseRepresentation
bin1101111010100…
…00100111100000
322010122002200101
412331100213200
5214340102034
615325432144
72615056540
oct675204740
9263562611
10116722144
115a983090
123310b654
131b249c76
1411705320
15a3a9514
hex6f509e0

116722144 has 96 divisors (see below), whose sum is σ = 289529856. Its totient is φ = 44997120.

The previous prime is 116722091. The next prime is 116722147. The reversal of 116722144 is 441227611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116722147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 312742 + ... + 313114.

It is an arithmetic number, because the mean of its divisors is an integer number (3015936).

Almost surely, 2116722144 is an apocalyptic number.

116722144 is a gapful number since it is divisible by the number (14) 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 116722144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764928).

116722144 is an abundant number, since it is smaller than the sum of its proper divisors (172807712).

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

116722144 is a wasteful number, since it uses less digits than its factorization.

116722144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 116722144 is about 10803.8022936372. The cubic root of 116722144 is about 488.7098421795.

Adding to 116722144 its reverse (441227611), we get a palindrome (557949755).

The spelling of 116722144 in words is "one hundred sixteen million, seven hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 127 154 176 224 254 308 352 373 508 616 746 889 1016 1232 1397 1492 1778 2032 2464 2611 2794 2984 3556 4064 4103 5222 5588 5968 7112 8206 9779 10444 11176 11936 14224 16412 19558 20888 22352 28448 28721 32824 39116 41776 44704 47371 57442 65648 78232 83552 94742 114884 131296 156464 189484 229768 312928 331597 378968 459536 521081 663194 757936 919072 1042162 1326388 1515872 2084324 2652776 3647567 4168648 5305552 7295134 8337296 10611104 14590268 16674592 29180536 58361072 116722144