Search a number
-
+
59040240 = 24357113311
BaseRepresentation
bin1110000100111…
…0000111110000
311010002112222120
43201032013300
5110103241430
65505234240
71314555660
oct341160760
9133075876
1059040240
1130365896
1217932980
13c30216c
147bac1a0
1552b3610
hex384e1f0

59040240 has 160 divisors (see below), whose sum is σ = 211700736. Its totient is φ = 13332480.

The previous prime is 59040227. The next prime is 59040301. The reversal of 59040240 is 4204095.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 59040240.

It is a congruent number.

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, 189685 + ... + 189995.

Almost surely, 259040240 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 59040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105850368).

59040240 is an abundant number, since it is smaller than the sum of its proper divisors (152660496).

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

59040240 is a wasteful number, since it uses less digits than its factorization.

59040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 59040240 is about 7683.7647022797. The cubic root of 59040240 is about 389.3881266578.

The spelling of 59040240 in words is "fifty-nine million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 311 336 339 420 452 560 565 622 678 791 840 904 933 1130 1244 1356 1555 1582 1680 1695 1808 1866 2177 2260 2373 2488 2712 3110 3164 3390 3732 3955 4354 4520 4665 4746 4976 5424 6220 6328 6531 6780 7464 7910 8708 9040 9330 9492 10885 11865 12440 12656 13062 13560 14928 15820 17416 18660 18984 21770 23730 24880 26124 27120 31640 32655 34832 35143 37320 37968 43540 47460 52248 63280 65310 70286 74640 87080 94920 104496 105429 130620 140572 174160 175715 189840 210858 246001 261240 281144 351430 421716 492002 522480 527145 562288 702860 738003 843432 984004 1054290 1230005 1405720 1476006 1686864 1968008 2108580 2460010 2811440 2952012 3690015 3936016 4217160 4920020 5904024 7380030 8434320 9840040 11808048 14760060 19680080 29520120 59040240