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20172880 = 24571317163
BaseRepresentation
bin100110011110…
…1000001010000
31101221212222201
41030331001100
520131013010
62000212544
7333316030
oct114750120
941855881
1020172880
1110429202
12690a154
134244020
1429718c0
151b8723a
hex133d050

20172880 has 160 divisors (see below), whose sum is σ = 61496064. Its totient is φ = 5971968.

The previous prime is 20172877. The next prime is 20172941. The reversal of 20172880 is 8827102.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 123679 + ... + 123841.

Almost surely, 220172880 is an apocalyptic number.

20172880 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 20172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30748032).

20172880 is an abundant number, since it is smaller than the sum of its proper divisors (41323184).

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

20172880 is a wasteful number, since it uses less digits than its factorization.

20172880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 20172880 is about 4491.4229371102. The cubic root of 20172880 is about 272.2216330837.

Adding to 20172880 its reverse (8827102), we get a palindrome (28999982).

The spelling of 20172880 in words is "twenty million, one hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 163 170 182 208 221 238 260 272 280 326 340 364 442 455 476 520 560 595 652 680 728 815 884 910 952 1040 1105 1141 1190 1304 1360 1456 1547 1630 1768 1820 1904 2119 2210 2282 2380 2608 2771 3094 3260 3536 3640 4238 4420 4564 4760 5542 5705 6188 6520 7280 7735 8476 8840 9128 9520 10595 11084 11410 12376 13040 13855 14833 15470 16952 17680 18256 19397 21190 22168 22820 24752 27710 29666 30940 33904 36023 38794 42380 44336 45640 55420 59332 61880 72046 74165 77588 84760 91280 96985 110840 118664 123760 144092 148330 155176 169520 180115 193970 221680 237328 252161 288184 296660 310352 360230 387940 504322 576368 593320 720460 775880 1008644 1186640 1260805 1440920 1551760 2017288 2521610 2881840 4034576 5043220 10086440 20172880