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71680710 = 23541101577
BaseRepresentation
bin1000100010111…
…00001011000110
311222212202110010
410101130023012
5121322240320
611040211050
71530163443
oct421341306
9158782403
1071680710
1137509862
1220009a86
1311b0982a
14973c9ca
15645dae0
hex445c2c6

71680710 has 64 divisors (see below), whose sum is σ = 178282944. Its totient is φ = 18432000.

The previous prime is 71680667. The next prime is 71680733. The reversal of 71680710 is 1708617.

It is a super-2 number, since 2×716807102 = 10276248372208200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123942 + ... + 124518.

It is an arithmetic number, because the mean of its divisors is an integer number (2785671).

Almost surely, 271680710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71680710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89141472).

71680710 is an abundant number, since it is smaller than the sum of its proper divisors (106602234).

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

71680710 is a wasteful number, since it uses less digits than its factorization.

71680710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 71680710 is about 8466.4461257366. The cubic root of 71680710 is about 415.4008996729.

It can be divided in two parts, 71680 and 710, that added together give a triangular number (72390 = T380).

The spelling of 71680710 in words is "seventy-one million, six hundred eighty thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 101 123 202 205 246 303 410 505 577 606 615 1010 1154 1230 1515 1731 2885 3030 3462 4141 5770 8282 8655 12423 17310 20705 23657 24846 41410 47314 58277 62115 70971 116554 118285 124230 141942 174831 236570 291385 349662 354855 582770 709710 874155 1748310 2389357 4778714 7168071 11946785 14336142 23893570 35840355 71680710