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716106384 = 243272101489
BaseRepresentation
bin101010101011101…
…110101010010000
31211220110222021200
4222223232222100
52431310401014
6155020351200
723513542500
oct5253565220
91756428250
10716106384
11338250364
1217b9a5500
13b548b4b6
146b16ba00
1542d04a09
hex2aaeea90

716106384 has 90 divisors (see below), whose sum is σ = 2331326790. Its totient is φ = 204599808.

The previous prime is 716106361. The next prime is 716106401. The reversal of 716106384 is 483601617.

716106384 is a `hidden beast` number, since 7 + 1 + 6 + 10 + 638 + 4 = 666.

716106384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 656384400 + 59721984 = 25620^2 + 7728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43689 + ... + 57800.

It is an arithmetic number, because the mean of its divisors is an integer number (25903631).

Almost surely, 2716106384 is an apocalyptic number.

It is an amenable number.

716106384 is an abundant number, since it is smaller than the sum of its proper divisors (1615220406).

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

716106384 is a wasteful number, since it uses less digits than its factorization.

716106384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101517 (or 101501 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 716106384 is about 26760.1641250572. The cubic root of 716106384 is about 894.6623921454.

The spelling of 716106384 in words is "seven hundred sixteen million, one hundred six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 101489 202978 304467 405956 608934 710423 811912 913401 1217868 1420846 1623824 1826802 2131269 2435736 2841692 3653604 4262538 4871472 4972961 5683384 6393807 7307208 8525076 9945922 11366768 12787614 14614416 14918883 17050152 19891844 25575228 29837766 34100304 39783688 44756649 51150456 59675532 79567376 89513298 102300912 119351064 179026596 238702128 358053192 716106384