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20548920 = 23357171439
BaseRepresentation
bin100111001100…
…0110100111000
31102122222211010
41032120310320
520230031140
62012233520
7336443250
oct116306470
942588733
1020548920
1110665787
126a6b8a0
134346232
142a2c960
151c0d880
hex1398d38

20548920 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 4417536.

The previous prime is 20548919. The next prime is 20548951. The reversal of 20548920 is 2984502.

It is a super-2 number, since 2×205489202 = 844516226332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13561 + ... + 14999.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 220548920 is an apocalyptic number.

20548920 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 20548920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

20548920 is an abundant number, since it is smaller than the sum of its proper divisors (54100680).

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

20548920 is a wasteful number, since it uses less digits than its factorization.

20548920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20548920 is about 4533.0916602248. The cubic root of 20548920 is about 273.9027128992.

The spelling of 20548920 in words is "twenty million, five hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1439 1785 2040 2380 2856 2878 3570 4317 4760 5756 7140 7195 8634 10073 11512 14280 14390 17268 20146 21585 24463 28780 30219 34536 40292 43170 48926 50365 57560 60438 73389 80584 86340 97852 100730 120876 122315 146778 151095 171241 172680 195704 201460 241752 244630 293556 302190 342482 366945 402920 489260 513723 587112 604380 684964 733890 856205 978520 1027446 1208760 1369928 1467780 1712410 2054892 2568615 2935560 3424820 4109784 5137230 6849640 10274460 20548920