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2720741076 = 223447373479
BaseRepresentation
bin1010001000101011…
…0011011011010100
321000121112222010000
42202022303123110
521033002203301
61125550531300
7124264626504
oct24212633324
97017488100
102720741076
111176873049
1263b206b30
13344899281
141bb4b1a04
1510dcd0786
hexa22b36d4

2720741076 has 120 divisors (see below), whose sum is σ = 7298565120. Its totient is φ = 883389888.

The previous prime is 2720741057. The next prime is 2720741083. The reversal of 2720741076 is 6701470272.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2720741076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5679805 + ... + 5680283.

It is an arithmetic number, because the mean of its divisors is an integer number (60821376).

Almost surely, 22720741076 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 2720741076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649282560).

2720741076 is an abundant number, since it is smaller than the sum of its proper divisors (4577824044).

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

2720741076 is a wasteful number, since it uses less digits than its factorization.

2720741076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2720741076 is about 52160.7234995835. The cubic root of 2720741076 is about 1396.0331714901.

The spelling of 2720741076 in words is "two billion, seven hundred twenty million, seven hundred forty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 373 423 479 564 746 846 958 1119 1269 1437 1492 1692 1916 2238 2538 2874 3357 3807 4311 4476 5076 5748 6714 7614 8622 10071 12933 13428 15228 17244 17531 20142 22513 25866 30213 35062 38799 40284 45026 51732 52593 60426 67539 70124 77598 90052 105186 120852 135078 155196 157779 178667 202617 210372 270156 315558 357334 405234 473337 536001 607851 631116 714668 810468 946674 1072002 1215702 1420011 1608003 1823553 1893348 2144004 2431404 2840022 3216006 3647106 4824009 5680044 6432012 7294212 8397349 9648018 14472027 16794698 19296036 25192047 28944054 33589396 50384094 57888108 75576141 100768188 151152282 226728423 302304564 453456846 680185269 906913692 1360370538 2720741076