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23420880 = 2433571549
BaseRepresentation
bin101100101010…
…1111111010000
31122001220102000
41121111333100
521443432010
62153554000
7403034310
oct131257720
948056360
1023420880
11122474aa
127a15900
134b10512
143179440
1520c97c0
hex1655fd0

23420880 has 160 divisors (see below), whose sum is σ = 92256000. Its totient is φ = 5349888.

The previous prime is 23420879. The next prime is 23420921. The reversal of 23420880 is 8802432.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14346 + ... + 15894.

It is an arithmetic number, because the mean of its divisors is an integer number (576600).

Almost surely, 223420880 is an apocalyptic number.

23420880 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 23420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128000).

23420880 is an abundant number, since it is smaller than the sum of its proper divisors (68835120).

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

23420880 is a wasteful number, since it uses less digits than its factorization.

23420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23420880 is about 4839.5123721301. The cubic root of 23420880 is about 286.1108996623.

It can be divided in two parts, 23 and 420880, that added together give a triangular number (420903 = T917).

The spelling of 23420880 in words is "twenty-three million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1549 1680 1890 2160 2520 3024 3098 3780 4647 5040 6196 7560 7745 9294 10843 12392 13941 15120 15490 18588 21686 23235 24784 27882 30980 32529 37176 41823 43372 46470 54215 55764 61960 65058 69705 74352 83646 86744 92940 97587 108430 111528 123920 130116 139410 162645 167292 173488 185880 195174 209115 216860 223056 260232 278820 292761 325290 334584 371760 390348 418230 433720 487935 520464 557640 585522 650580 669168 780696 836460 867440 975870 1115280 1171044 1301160 1463805 1561392 1672920 1951740 2342088 2602320 2927610 3345840 3903480 4684176 5855220 7806960 11710440 23420880