Search a number
-
+
10080023415 = 3571110384731
BaseRepresentation
bin10010110001101000…
…01111001101110111
3222000111100020121120
421120310033031313
5131120441222130
64344121515023
7504535533240
oct113064171567
928014306546
1010080023415
114302a01870
121b53942a73
13c484583c7
146b8a33cc7
153dee18910
hex258d0f377

10080023415 has 64 divisors (see below), whose sum is σ = 20303142912. Its totient is φ = 4148380800.

The previous prime is 10080023383. The next prime is 10080023419. The reversal of 10080023415 is 51432008001.

It is not a de Polignac number, because 10080023415 - 25 = 10080023383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080023419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76600 + ... + 161330.

It is an arithmetic number, because the mean of its divisors is an integer number (317236608).

Almost surely, 210080023415 is an apocalyptic number.

10080023415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10080023415 is an abundant number, since it is smaller than the sum of its proper divisors (10223119497).

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

10080023415 is a wasteful number, since it uses less digits than its factorization.

10080023415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84860.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10080023415 in words is "ten billion, eighty million, twenty-three thousand, four hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 103 105 165 231 309 385 515 721 1133 1155 1545 2163 3399 3605 5665 7931 10815 16995 23793 39655 84731 118965 254193 423655 593117 932041 1270965 1779351 2796123 2965585 4660205 6524287 8727293 8896755 13980615 19572861 26181879 32621435 43636465 61091051 96000223 97864305 130909395 183273153 288000669 305455255 480001115 672001561 916365765 1440003345 2016004683 3360007805 10080023415