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20234880 = 273351171
BaseRepresentation
bin100110100110…
…0001010000000
31102002001001000
41031030022000
520140004010
62001412000
7333664551
oct115141200
942061030
1020234880
1110470846
12693a000
134266303
14298a328
151b9a7c0
hex134c280

20234880 has 128 divisors (see below), whose sum is σ = 71726400. Its totient is φ = 5391360.

The previous prime is 20234849. The next prime is 20234881. The reversal of 20234880 is 8843202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×202348802 = 818900737228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20234881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16695 + ... + 17865.

Almost surely, 220234880 is an apocalyptic number.

20234880 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 20234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35863200).

20234880 is an abundant number, since it is smaller than the sum of its proper divisors (51491520).

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

20234880 is a wasteful number, since it uses less digits than its factorization.

20234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1181 counting only the distinct ones).

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

The square root of 20234880 is about 4498.3196862829. The cubic root of 20234880 is about 272.5002328646.

It can be divided in two parts, 2023 and 4880, that added together give a triangular number (6903 = T117).

The spelling of 20234880 in words is "twenty million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1171 1440 1728 1920 2160 2342 2880 3456 3513 4320 4684 5760 5855 7026 8640 9368 10539 11710 14052 17280 17565 18736 21078 23420 28104 31617 35130 37472 42156 46840 52695 56208 63234 70260 74944 84312 93680 105390 112416 126468 140520 149888 158085 168624 187360 210780 224832 252936 281040 316170 337248 374720 421560 449664 505872 562080 632340 674496 749440 843120 1011744 1124160 1264680 1348992 1686240 2023488 2248320 2529360 3372480 4046976 5058720 6744960 10117440 20234880