Search a number
-
+
2023413120 = 27325351287
BaseRepresentation
bin111100010011010…
…1101010110000000
312020000102000222200
41320212231112000
513120443204440
6532440433200
7101066504421
oct17046552600
95200360880
102023413120
11949189253
12485778800
13263284191
14152a31648
15bc989c30
hex789ad580

2023413120 has 96 divisors (see below), whose sum is σ = 6987118320. Its totient is φ = 539575296.

The previous prime is 2023413103. The next prime is 2023413163. The reversal of 2023413120 is 213143202.

2023413120 is a `hidden beast` number, since 202 + 341 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2023413093 and 2023413102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169884 + ... + 181403.

Almost surely, 22023413120 is an apocalyptic number.

2023413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023413120 is an abundant number, since it is smaller than the sum of its proper divisors (4963705200).

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

2023413120 is a wasteful number, since it uses less digits than its factorization.

2023413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351312 (or 351297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023413120 is about 44982.3645443412. The cubic root of 2023413120 is about 1264.8184359287.

Adding to 2023413120 its reverse (213143202), we get a palindrome (2236556322).

The spelling of 2023413120 in words is "two billion, twenty-three million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 351287 702574 1053861 1405148 1756435 2107722 2810296 3161583 3512870 4215444 5269305 5620592 6323166 7025740 8430888 10538610 11241184 12646332 14051480 15807915 16861776 21077220 22482368 25292664 28102960 31615830 33723552 42154440 44964736 50585328 56205920 63231660 67447104 84308880 101170656 112411840 126463320 134894208 168617760 202341312 224823680 252926640 337235520 404682624 505853280 674471040 1011706560 2023413120