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116620784 = 2472197829
BaseRepresentation
bin1101111001101…
…11110111110000
322010102221122022
412330313313300
5214323331114
615323331012
72614155200
oct674676760
9263387568
10116620784
115a913a15
1233080a68
131b212aa7
14116ba400
15a38948e
hex6f37df0

116620784 has 60 divisors (see below), whose sum is σ = 276712200. Its totient is φ = 47343744.

The previous prime is 116620783. The next prime is 116620807. The reversal of 116620784 is 487026611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116620783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10982 + ... + 18810.

It is an arithmetic number, because the mean of its divisors is an integer number (4611870).

Almost surely, 2116620784 is an apocalyptic number.

116620784 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 116620784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138356100).

116620784 is an abundant number, since it is smaller than the sum of its proper divisors (160091416).

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

116620784 is a wasteful number, since it uses less digits than its factorization.

116620784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 116620784 is about 10799.1103337266. The cubic root of 116620784 is about 488.5683381097.

The spelling of 116620784 in words is "one hundred sixteen million, six hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 7829 14896 15658 31316 54803 62632 109606 125264 148751 219212 297502 383621 438424 595004 767242 876848 1041257 1190008 1534484 2082514 2380016 3068968 4165028 6137936 7288799 8330056 14577598 16660112 29155196 58310392 116620784