Search a number
-
+
23185680 = 2435737373
BaseRepresentation
bin101100001110…
…0100100010000
31121121221202220
41120130210100
521413420210
62144541040
7401034510
oct130344420
947557686
1023185680
11120a6821
127921780
134a5a44b
143117840
15207ec70
hex161c910

23185680 has 160 divisors (see below), whose sum is σ = 84589824. Its totient is φ = 5142528.

The previous prime is 23185649. The next prime is 23185693. The reversal of 23185680 is 8658132.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61974 + ... + 62346.

Almost surely, 223185680 is an apocalyptic number.

23185680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23185680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42294912).

23185680 is an abundant number, since it is smaller than the sum of its proper divisors (61404144).

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

23185680 is a wasteful number, since it uses less digits than its factorization.

23185680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 23185680 is about 4815.1510879722. The cubic root of 23185680 is about 285.1499364950.

The spelling of 23185680 in words is "twenty-three million, one hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 373 420 444 518 555 560 592 740 746 777 840 888 1036 1110 1119 1295 1480 1492 1554 1680 1776 1865 2072 2220 2238 2590 2611 2960 2984 3108 3730 3885 4144 4440 4476 5180 5222 5595 5968 6216 7460 7770 7833 8880 8952 10360 10444 11190 12432 13055 13801 14920 15540 15666 17904 20720 20888 22380 26110 27602 29840 31080 31332 39165 41403 41776 44760 52220 55204 62160 62664 69005 78330 82806 89520 96607 104440 110408 125328 138010 156660 165612 193214 207015 208880 220816 276020 289821 313320 331224 386428 414030 483035 552040 579642 626640 662448 772856 828060 966070 1104080 1159284 1449105 1545712 1656120 1932140 2318568 2898210 3312240 3864280 4637136 5796420 7728560 11592840 23185680