Search a number
-
+
7268088100 = 2252713798691
BaseRepresentation
bin1101100010011011…
…00011100100100100
3200202112012010112011
412301031203210210
5104341112304400
63201112204004
7345052505140
oct66115434444
920675163464
107268088100
11309a712189
1214aa099604
138baa0c760
144cd3c4220
152c81228ba
hex1b1363924

7268088100 has 72 divisors (see below), whose sum is σ = 19411410368. Its totient is φ = 2300227200.

The previous prime is 7268088089. The next prime is 7268088101. The reversal of 7268088100 is 18808627.

It is a super-2 number, since 2×72680881002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7268088101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390246 + ... + 408445.

Almost surely, 27268088100 is an apocalyptic number.

7268088100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7268088100 is an abundant number, since it is smaller than the sum of its proper divisors (12143322268).

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

7268088100 is a wasteful number, since it uses less digits than its factorization.

7268088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798725 (or 798718 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 7268088100 is about 85253.0826422130. The cubic root of 7268088100 is about 1937.0465652745.

The spelling of 7268088100 in words is "seven billion, two hundred sixty-eight million, eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 798691 1597382 3194764 3993455 5590837 7986910 10382983 11181674 15973820 19967275 20765966 22363348 27954185 39934550 41531932 51914915 55908370 72680881 79869100 103829830 111816740 139770925 145361762 207659660 259574575 279541850 290723524 363404405 519149150 559083700 726808810 1038298300 1453617620 1817022025 3634044050 7268088100