Search a number
-
+
51140040 = 23357232647
BaseRepresentation
bin1100001100010…
…1010111001000
310120020011221120
43003011113020
5101042440130
65024035240
71160453220
oct303052710
9116204846
1051140040
112695a2a6
1215162b20
13a7972a3
146b13080
154752910
hex30c55c8

51140040 has 128 divisors (see below), whose sum is σ = 183029760. Its totient is φ = 11176704.

The previous prime is 51140009. The next prime is 51140069. The reversal of 51140040 is 4004115.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17997 + ... + 20643.

It is an arithmetic number, because the mean of its divisors is an integer number (1429920).

Almost surely, 251140040 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 51140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91514880).

51140040 is an abundant number, since it is smaller than the sum of its proper divisors (131889720).

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

51140040 is a wasteful number, since it uses less digits than its factorization.

51140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 51140040 is about 7151.2264682361. The cubic root of 51140040 is about 371.1820971164.

Adding to 51140040 its reverse (4004115), we get a palindrome (55144155).

The spelling of 51140040 in words is "fifty-one million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2647 2760 3220 3864 4830 5294 6440 7941 9660 10588 13235 15882 18529 19320 21176 26470 31764 37058 39705 52940 55587 60881 63528 74116 79410 92645 105880 111174 121762 148232 158820 182643 185290 222348 243524 277935 304405 317640 365286 370580 426167 444696 487048 555870 608810 730572 741160 852334 913215 1111740 1217620 1278501 1461144 1704668 1826430 2130835 2223480 2435240 2557002 3409336 3652860 4261670 5114004 6392505 7305720 8523340 10228008 12785010 17046680 25570020 51140040