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56212380 = 2234574957
BaseRepresentation
bin1101011001101…
…1101110011100
310220202212220000
43112123232130
5103342244010
65324454300
71251540330
oct326335634
9126685800
1056212380
1129804214
12169aa390
13b851c83
1476737c0
154e057c0
hex359bb9c

56212380 has 120 divisors (see below), whose sum is σ = 201572448. Its totient is φ = 12845952.

The previous prime is 56212379. The next prime is 56212381. The reversal of 56212380 is 8321265.

56212380 is a `hidden beast` number, since 5 + 621 + 2 + 38 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56212379) and next prime (56212381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56212381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8862 + ... + 13818.

Almost surely, 256212380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56212380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100786224).

56212380 is an abundant number, since it is smaller than the sum of its proper divisors (145360068).

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

56212380 is a wasteful number, since it uses less digits than its factorization.

56212380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56212380 is about 7497.4915805221. The cubic root of 56212380 is about 383.0692791891.

It can be divided in two parts, 5621 and 2380, that added together give a triangular number (8001 = T126).

The spelling of 56212380 in words is "fifty-six million, two hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 4957 5670 9914 11340 14871 19828 24785 29742 34699 44613 49570 59484 69398 74355 89226 99140 104097 133839 138796 148710 173495 178452 208194 223065 267678 297420 312291 346990 401517 416388 446130 520485 535356 624582 669195 693980 803034 892260 936873 1040970 1249164 1338390 1561455 1606068 1873746 2007585 2081940 2676780 2810619 3122910 3747492 4015170 4684365 5621238 6245820 8030340 9368730 11242476 14053095 18737460 28106190 56212380