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20120760 = 23325115081
BaseRepresentation
bin100110011000…
…0010010111000
31101212020111100
41030300102320
520122331020
61555131400
7333011052
oct114602270
941766440
1020120760
11103a3030
1268a3b60
13422639a
14295a8d2
151b76a90
hex13304b8

20120760 has 96 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 4876800.

The previous prime is 20120759. The next prime is 20120773. The reversal of 20120760 is 6702102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420 + ... + 6500.

Almost surely, 220120760 is an apocalyptic number.

20120760 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 20120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

20120760 is an abundant number, since it is smaller than the sum of its proper divisors (51230520).

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

20120760 is a wasteful number, since it uses less digits than its factorization.

20120760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20120760 is about 4485.6170144140. The cubic root of 20120760 is about 271.9869875551.

Adding to 20120760 its reverse (6702102), we get a palindrome (26822862).

The spelling of 20120760 in words is "twenty million, one hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5081 10162 15243 20324 25405 30486 40648 45729 50810 55891 60972 76215 91458 101620 111782 121944 152430 167673 182916 203240 223564 228645 279455 304860 335346 365832 447128 457290 503019 558910 609720 670692 838365 914580 1006038 1117820 1341384 1676730 1829160 2012076 2235640 2515095 3353460 4024152 5030190 6706920 10060380 20120760