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2390066924 = 2272171921987
BaseRepresentation
bin1000111001110101…
…1000011011101100
320011120022222110012
42032131120123230
514343324120144
61033055232352
7113141143100
oct21635303354
96146288405
102390066924
111017148723
125685186b8
132c121b6ab
141895d5900
15dec62e9e
hex8e7586ec

2390066924 has 108 divisors (see below), whose sum is σ = 5439847896. Its totient is φ = 912860928.

The previous prime is 2390066897. The next prime is 2390066927. The reversal of 2390066924 is 4296600932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390066927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1201859 + ... + 1203845.

It is an arithmetic number, because the mean of its divisors is an integer number (50368962).

Almost surely, 22390066924 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 2390066924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719923948).

2390066924 is an abundant number, since it is smaller than the sum of its proper divisors (3049780972).

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

2390066924 is a wasteful number, since it uses less digits than its factorization.

2390066924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 2390066924 is about 48888.3107092074. The cubic root of 2390066924 is about 1337.0162548392.

The spelling of 2390066924 in words is "two billion, three hundred ninety million, sixty-six thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 361 476 532 646 722 833 931 1292 1444 1666 1862 1987 2261 2527 3332 3724 3974 4522 5054 6137 7948 9044 10108 12274 13909 15827 17689 24548 27818 31654 33779 35378 37753 42959 55636 63308 67558 70756 75506 85918 97363 135116 151012 171836 194726 236453 264271 300713 389452 472906 528542 601426 641801 717307 945812 1057084 1202852 1283602 1434614 1655171 1849897 2567204 2869228 3310342 3699794 4492607 5021149 6620684 7399588 8985214 10042298 12194219 17970428 20084596 24388438 31448249 35148043 48776876 62896498 70296086 85359533 125792996 140592172 170719066 341438132 597516731 1195033462 2390066924