Search a number
-
+
23240280 = 2335773379
BaseRepresentation
bin101100010100…
…1111001011000
31121201201200010
41120221321120
521422142110
62150041520
7401352630
oct130517130
947651603
1023240280
1112133848
1279492a0
134a7925b
14312d6c0
152091020
hex1629e58

23240280 has 128 divisors (see below), whose sum is σ = 80985600. Its totient is φ = 5225472.

The previous prime is 23240279. The next prime is 23240291. The reversal of 23240280 is 8204232.

It is a super-2 number, since 2×232402802 = 1080221228956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent 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, 61131 + ... + 61509.

It is an arithmetic number, because the mean of its divisors is an integer number (632700).

Almost surely, 223240280 is an apocalyptic number.

23240280 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 23240280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40492800).

23240280 is an abundant number, since it is smaller than the sum of its proper divisors (57745320).

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

23240280 is a wasteful number, since it uses less digits than its factorization.

23240280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23240280 is about 4820.8173580836. The cubic root of 23240280 is about 285.3735943906.

The spelling of 23240280 in words is "twenty-three million, two hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 365 379 420 438 511 584 730 758 840 876 1022 1095 1137 1460 1516 1533 1752 1895 2044 2190 2274 2555 2653 2920 3032 3066 3790 4088 4380 4548 5110 5306 5685 6132 7580 7665 7959 8760 9096 10220 10612 11370 12264 13265 15160 15330 15918 20440 21224 22740 26530 27667 30660 31836 39795 45480 53060 55334 61320 63672 79590 83001 106120 110668 138335 159180 166002 193669 221336 276670 318360 332004 387338 415005 553340 581007 664008 774676 830010 968345 1106680 1162014 1549352 1660020 1936690 2324028 2905035 3320040 3873380 4648056 5810070 7746760 11620140 23240280