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56401410 = 235131747181
BaseRepresentation
bin1101011100100…
…1111000000010
310221010111012010
43113021320002
5103414321120
65332513350
71253255412
oct327117002
9127114163
1056401410
112992323a
1216a7b856
13b8ba020
1476c2642
154e417e0
hex35c9e02

56401410 has 128 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 12718080.

The previous prime is 56401409. The next prime is 56401439. The reversal of 56401410 is 1410465.

It is a super-2 number, since 2×564014102 = 6362238099976200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311520 + ... + 311700.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 256401410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56401410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

56401410 is an abundant number, since it is smaller than the sum of its proper divisors (102104574).

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

56401410 is a wasteful number, since it uses less digits than its factorization.

56401410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 56401410 is about 7510.0872165375. The cubic root of 56401410 is about 383.4981916399.

Adding to 56401410 its reverse (1410465), we get a palindrome (57811875).

It can be divided in two parts, 5640 and 1410, that multiplied together give a square (7952400 = 28202).

The spelling of 56401410 in words is "fifty-six million, four hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 47 51 65 78 85 94 102 130 141 170 181 195 221 235 255 282 362 390 442 470 510 543 611 663 705 799 905 1086 1105 1222 1326 1410 1598 1810 1833 2210 2353 2397 2715 3055 3077 3315 3666 3995 4706 4794 5430 6110 6154 6630 7059 7990 8507 9165 9231 10387 11765 11985 14118 15385 17014 18330 18462 20774 23530 23970 25521 30770 31161 35295 40001 42535 46155 51042 51935 62322 70590 80002 85070 92310 103870 110591 120003 127605 144619 155805 200005 221182 240006 255210 289238 311610 331773 400010 433857 552955 600015 663546 723095 867714 1105910 1200030 1446190 1658865 1880047 2169285 3317730 3760094 4338570 5640141 9400235 11280282 18800470 28200705 56401410