Search a number
-
+
716164480 = 2753136097
BaseRepresentation
bin101010101011111…
…100110110000000
31211220120220222101
4222223330312000
52431314230410
6155021520144
723514204043
oct5253746600
91756526871
10716164480
1133828aa79
1217ba13054
13b54aba85
146b184c5a
1542d16d3a
hex2aafcd80

716164480 has 64 divisors (see below), whose sum is σ = 1767358080. Its totient is φ = 277217280.

The previous prime is 716164469. The next prime is 716164481. The reversal of 716164480 is 84461617.

It is a happy number.

716164480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716164481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1792 + ... + 37888.

It is an arithmetic number, because the mean of its divisors is an integer number (27614970).

Almost surely, 2716164480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883679040).

716164480 is an abundant number, since it is smaller than the sum of its proper divisors (1051193600).

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

716164480 is a wasteful number, since it uses less digits than its factorization.

716164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36147 (or 36135 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 716164480 is about 26761.2495971320. The cubic root of 716164480 is about 894.6865854319.

The spelling of 716164480 in words is "seven hundred sixteen million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 36097 72194 144388 180485 288776 360970 577552 721940 1119007 1155104 1443880 2238014 2310208 2887760 4476028 4620416 5595035 5775520 8952056 11190070 11551040 17904112 22380140 23102080 35808224 44760280 71616448 89520560 143232896 179041120 358082240 716164480