Search a number
-
+
2023059264 = 26383126949
BaseRepresentation
bin111100010010101…
…0110111101000000
312012222202001120220
41320211112331000
513120400344024
6532425103040
7101063501652
oct17045267500
95188661526
102023059264
11948a67406
12485627a80
1326318c0b5
1415297c6d2
15bc919e79
hex78956f40

2023059264 has 56 divisors (see below), whose sum is σ = 5417210400. Its totient is φ = 666223104.

The previous prime is 2023059239. The next prime is 2023059289. The reversal of 2023059264 is 4629503202.

It is an interprime number because it is at equal distance from previous prime (2023059239) and next prime (2023059289).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47539 + ... + 79410.

It is an arithmetic number, because the mean of its divisors is an integer number (96735900).

Almost surely, 22023059264 is an apocalyptic number.

2023059264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2023059264 is an abundant number, since it is smaller than the sum of its proper divisors (3394151136).

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

2023059264 is a wasteful number, since it uses less digits than its factorization.

2023059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127047 (or 127037 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2023059264 is about 44978.4310975828. The cubic root of 2023059264 is about 1264.7447008322.

The spelling of 2023059264 in words is "two billion, twenty-three million, fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5312 7968 15936 126949 253898 380847 507796 761694 1015592 1523388 2031184 3046776 4062368 6093552 8124736 10536767 12187104 21073534 24374208 31610301 42147068 63220602 84294136 126441204 168588272 252882408 337176544 505764816 674353088 1011529632 2023059264