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5370960 = 2435723139
BaseRepresentation
bin10100011111010001010000
3101002212120110
4110133101100
52333332320
6311041320
763436530
oct24372120
911085513
105370960
113039311
121970240
1311608aa
149db4c0
157115e0
hex51f450

5370960 has 160 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1165824.

The previous prime is 5370941. The next prime is 5370961. The reversal of 5370960 is 690735.

It is a super-2 number, since 2×53709602 = 57694422643200, which contains 22 as substring.

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 (5370961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38571 + ... + 38709.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 25370960 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 5370960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

5370960 is an abundant number, since it is smaller than the sum of its proper divisors (14627760).

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

5370960 is a wasteful number, since it uses less digits than its factorization.

5370960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 5370960 is about 2317.5331712836. The cubic root of 5370960 is about 175.1260044899.

The spelling of 5370960 in words is "five million, three hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 139 140 161 168 184 210 230 240 276 278 280 322 336 345 368 417 420 460 483 552 556 560 644 690 695 805 834 840 920 966 973 1104 1112 1288 1380 1390 1610 1668 1680 1840 1932 1946 2085 2224 2415 2576 2760 2780 2919 3197 3220 3336 3864 3892 4170 4830 4865 5520 5560 5838 6394 6440 6672 7728 7784 8340 9591 9660 9730 11120 11676 12788 12880 14595 15568 15985 16680 19182 19320 19460 22379 23352 25576 29190 31970 33360 38364 38640 38920 44758 46704 47955 51152 58380 63940 67137 76728 77840 89516 95910 111895 116760 127880 134274 153456 179032 191820 223790 233520 255760 268548 335685 358064 383640 447580 537096 671370 767280 895160 1074192 1342740 1790320 2685480 5370960