Search a number
-
+
76403740 = 22572531471
BaseRepresentation
bin1001000110111…
…01010000011100
312022202201020011
410203131100130
5124024404430
611325333004
71615264300
oct443352034
9168681204
1076403740
113a145296
1221707164
1312aa151a
14a20bd00
156a9322a
hex48dd41c

76403740 has 72 divisors (see below), whose sum is σ = 190294272. Its totient is φ = 25683840.

The previous prime is 76403689. The next prime is 76403783. The reversal of 76403740 is 4730467.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51205 + ... + 52675.

It is an arithmetic number, because the mean of its divisors is an integer number (2642976).

Almost surely, 276403740 is an apocalyptic number.

76403740 is a gapful number since it is divisible by the number (70) 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 76403740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95147136).

76403740 is an abundant number, since it is smaller than the sum of its proper divisors (113890532).

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

76403740 is a wasteful number, since it uses less digits than its factorization.

76403740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 76403740 is about 8740.9232921929. The cubic root of 76403740 is about 424.3311092880.

The spelling of 76403740 in words is "seventy-six million, four hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1471 1484 1855 2597 2942 3710 5194 5884 7355 7420 10297 10388 12985 14710 20594 25970 29420 41188 51485 51940 72079 77963 102970 144158 155926 205940 288316 311852 360395 389815 545741 720790 779630 1091482 1441580 1559260 2182964 2728705 3820187 5457410 7640374 10914820 15280748 19100935 38201870 76403740