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116361440 = 25513431301
BaseRepresentation
bin1101110111110…
…00100011100000
322002221202212222
412323320203200
5214242031230
615314010212
72612025116
oct673704340
9262852788
10116361440
115a757088
1232b76968
131b151a30
141164dab6
15a3376e5
hex6ef88e0

116361440 has 96 divisors (see below), whose sum is σ = 303168096. Its totient is φ = 41932800.

The previous prime is 116361431. The next prime is 116361449. The reversal of 116361440 is 44163611.

It is an interprime number because it is at equal distance from previous prime (116361431) and next prime (116361449).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116361449) 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, 88790 + ... + 90090.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2116361440 is an apocalyptic number.

116361440 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 116361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151584048).

116361440 is an abundant number, since it is smaller than the sum of its proper divisors (186806656).

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

116361440 is a wasteful number, since it uses less digits than its factorization.

116361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 116361440 is about 10787.0959947522. The cubic root of 116361440 is about 488.2059061206.

The spelling of 116361440 in words is "one hundred sixteen million, three hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 65 80 86 104 130 160 172 208 215 260 344 416 430 520 559 688 860 1040 1118 1301 1376 1720 2080 2236 2602 2795 3440 4472 5204 5590 6505 6880 8944 10408 11180 13010 16913 17888 20816 22360 26020 33826 41632 44720 52040 55943 67652 84565 89440 104080 111886 135304 169130 208160 223772 270608 279715 338260 447544 541216 559430 676520 727259 895088 1118860 1353040 1454518 1790176 2237720 2706080 2909036 3636295 4475440 5818072 7272590 8950880 11636144 14545180 23272288 29090360 58180720 116361440