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5857320 = 2335719367
BaseRepresentation
bin10110010110000000101000
3102000120201210
4112112000220
52444413240
6325313120
7100533510
oct26260050
912016653
105857320
113340767
121b657a0
1312a1091
14ac6840
157aa780
hex596028

5857320 has 128 divisors (see below), whose sum is σ = 21196800. Its totient is φ = 1264896.

The previous prime is 5857309. The next prime is 5857337. The reversal of 5857320 is 237585.

It is a happy number.

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

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, 15777 + ... + 16143.

It is an arithmetic number, because the mean of its divisors is an integer number (165600).

Almost surely, 25857320 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 5857320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598400).

5857320 is an abundant number, since it is smaller than the sum of its proper divisors (15339480).

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

5857320 is a wasteful number, since it uses less digits than its factorization.

5857320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5857320 is about 2420.1900751800. The cubic root of 5857320 is about 180.2601177503.

The spelling of 5857320 in words is "five million, eight hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 367 380 399 420 456 532 570 665 734 760 798 840 1064 1101 1140 1330 1468 1596 1835 1995 2202 2280 2569 2660 2936 3192 3670 3990 4404 5138 5320 5505 6973 7340 7707 7980 8808 10276 11010 12845 13946 14680 15414 15960 20552 20919 22020 25690 27892 30828 34865 38535 41838 44040 48811 51380 55784 61656 69730 77070 83676 97622 102760 104595 139460 146433 154140 167352 195244 209190 244055 278920 292866 308280 390488 418380 488110 585732 732165 836760 976220 1171464 1464330 1952440 2928660 5857320