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5371680 = 253519231
BaseRepresentation
bin10100011111011100100000
3101002220120010
4110133130200
52333343210
6311044520
763441606
oct24373440
911086503
105371680
113039906
121970740
131161012
149db876
15711920
hex51f720

5371680 has 144 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1313280.

The previous prime is 5371679. The next prime is 5371687. The reversal of 5371680 is 861735.

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

It is not an unprimeable number, because it can be changed into a prime (5371687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173265 + ... + 173295.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 25371680 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 5371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

5371680 is an abundant number, since it is smaller than the sum of its proper divisors (13062624).

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

5371680 is a wasteful number, since it uses less digits than its factorization.

5371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5371680 is about 2317.6885036605. The cubic root of 5371680 is about 175.1338296018.

The spelling of 5371680 in words is "five million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 32 38 40 48 57 60 62 76 80 93 95 96 114 120 124 152 155 160 186 190 228 240 248 285 304 310 361 372 380 456 465 480 496 570 589 608 620 722 744 760 912 930 992 1083 1140 1178 1240 1444 1488 1520 1767 1805 1824 1860 2166 2280 2356 2480 2888 2945 2976 3040 3534 3610 3720 4332 4560 4712 4960 5415 5776 5890 7068 7220 7440 8664 8835 9120 9424 10830 11191 11552 11780 14136 14440 14880 17328 17670 18848 21660 22382 23560 28272 28880 33573 34656 35340 43320 44764 47120 55955 56544 57760 67146 70680 86640 89528 94240 111910 134292 141360 167865 173280 179056 223820 268584 282720 335730 358112 447640 537168 671460 895280 1074336 1342920 1790560 2685840 5371680