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20056380 = 22353141263
BaseRepresentation
bin100110010000…
…0100100111100
31101201222011220
41030200210330
520113301010
61553513340
7332322261
oct114404474
941658156
1020056380
1110359723
126872850
134202ca6
142941268
151b62970
hex132093c

20056380 has 96 divisors (see below), whose sum is σ = 59609088. Its totient is φ = 5030400.

The previous prime is 20056363. The next prime is 20056403. The reversal of 20056380 is 8365002.

It is a self number, because there is not a number n which added to its sum of digits gives 20056380.

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, 76129 + ... + 76391.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 220056380 is an apocalyptic number.

20056380 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 20056380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804544).

20056380 is an abundant number, since it is smaller than the sum of its proper divisors (39552708).

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

20056380 is a wasteful number, since it uses less digits than its factorization.

20056380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20056380 is about 4478.4349945042. The cubic root of 20056380 is about 271.6965871337.

It can be divided in two parts, 2005 and 6380, that added together give a triangular number (8385 = T129).

The spelling of 20056380 in words is "twenty million, fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 263 310 372 410 465 492 526 615 620 789 820 930 1052 1230 1271 1315 1578 1860 2460 2542 2630 3156 3813 3945 5084 5260 6355 7626 7890 8153 10783 12710 15252 15780 16306 19065 21566 24459 25420 32349 32612 38130 40765 43132 48918 53915 64698 76260 81530 97836 107830 122295 129396 161745 163060 215660 244590 323490 334273 489180 646980 668546 1002819 1337092 1671365 2005638 3342730 4011276 5014095 6685460 10028190 20056380