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5860920 = 2335132172
BaseRepresentation
bin10110010110111000111000
3102000202200010
4112112320320
53000022140
6325341520
7100550142
oct26267070
912022603
105860920
11334343a
121b678a0
1312a2900
14ac7c92
157ab880
hex596e38

5860920 has 144 divisors (see below), whose sum is σ = 20225160. Its totient is φ = 1357824.

The previous prime is 5860919. The next prime is 5860927. The reversal of 5860920 is 290685.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5860927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344752 + ... + 344768.

Almost surely, 25860920 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 5860920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112580).

5860920 is an abundant number, since it is smaller than the sum of its proper divisors (14364240).

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

5860920 is a wasteful number, since it uses less digits than its factorization.

5860920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5860920 is about 2420.9337041728. The cubic root of 5860920 is about 180.2970404112.

Multiplying 5860920 by its sum of digits (30), we get a square (175827600 = 132602).

5860920 divided by its sum of digits (30) gives a square (195364 = 4422).

Multiplying 5860920 by its product of nonzero digits (4320), we get a square (25319174400 = 1591202).

The spelling of 5860920 in words is "five million, eight hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 169 170 195 204 221 255 260 289 312 338 340 390 408 442 507 510 520 578 663 676 680 780 845 867 884 1014 1020 1105 1156 1326 1352 1445 1560 1690 1734 1768 2028 2040 2210 2312 2535 2652 2873 2890 3315 3380 3468 3757 4056 4335 4420 5070 5304 5746 5780 6630 6760 6936 7514 8619 8670 8840 10140 11271 11492 11560 13260 14365 15028 17238 17340 18785 20280 22542 22984 26520 28730 30056 34476 34680 37570 43095 45084 48841 56355 57460 68952 75140 86190 90168 97682 112710 114920 146523 150280 172380 195364 225420 244205 293046 344760 390728 450840 488410 586092 732615 976820 1172184 1465230 1953640 2930460 5860920