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5960680 = 23511192331
BaseRepresentation
bin10110101111001111101000
3102012211111221
4112233033220
53011220210
6331431424
7101444035
oct26571750
912184457
105960680
113401390
121bb5574
13130913b
14b1238c
157cb1da
hex5af3e8

5960680 has 128 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1900800.

The previous prime is 5960671. The next prime is 5960683. The reversal of 5960680 is 860695.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5960683) 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, 192265 + ... + 192295.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 25960680 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 5960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

5960680 is an abundant number, since it is smaller than the sum of its proper divisors (10628120).

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

5960680 is a wasteful number, since it uses less digits than its factorization.

5960680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 5960680 is about 2441.4503886010. The cubic root of 5960680 is about 181.3142491209.

The spelling of 5960680 in words is "five million, nine hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 23 31 38 40 44 46 55 62 76 88 92 95 110 115 124 152 155 184 190 209 220 230 248 253 310 341 380 418 437 440 460 506 589 620 682 713 760 836 874 920 1012 1045 1178 1240 1265 1364 1426 1672 1705 1748 2024 2090 2185 2356 2530 2728 2852 2945 3410 3496 3565 4180 4370 4712 4807 5060 5704 5890 6479 6820 7130 7843 8360 8740 9614 10120 11780 12958 13547 13640 14260 15686 17480 19228 23560 24035 25916 27094 28520 31372 32395 38456 39215 48070 51832 54188 62744 64790 67735 78430 96140 108376 129580 135470 149017 156860 192280 259160 270940 298034 313720 541880 596068 745085 1192136 1490170 2980340 5960680