Search a number
-
+
20440656 = 24321931241
BaseRepresentation
bin100110111111…
…0011001010000
31102110111022100
41031332121100
520213100111
62010040400
7335512515
oct115763120
942414270
1020440656
11105a1405
126a19100
134308b82
142a0130c
151bdb756
hex137e650

20440656 has 120 divisors (see below), whose sum is σ = 62416640. Its totient is φ = 6220800.

The previous prime is 20440649. The next prime is 20440691. The reversal of 20440656 is 65604402.

It is a happy number.

20440656 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 0 + 656 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84696 + ... + 84936.

Almost surely, 220440656 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 20440656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31208320).

20440656 is an abundant number, since it is smaller than the sum of its proper divisors (41975984).

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

20440656 is a wasteful number, since it uses less digits than its factorization.

20440656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20440656 is about 4521.1343709295. The cubic root of 20440656 is about 273.4208378701.

The spelling of 20440656 in words is "twenty million, four hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 241 248 279 304 342 372 456 482 496 558 589 684 723 744 912 964 1116 1178 1368 1446 1488 1767 1928 2169 2232 2356 2736 2892 3534 3856 4338 4464 4579 4712 5301 5784 7068 7471 8676 9158 9424 10602 11568 13737 14136 14942 17352 18316 21204 22413 27474 28272 29884 34704 36632 41211 42408 44826 54948 59768 67239 73264 82422 84816 89652 109896 119536 134478 141949 164844 179304 219792 268956 283898 329688 358608 425847 537912 567796 659376 851694 1075824 1135592 1277541 1703388 2271184 2555082 3406776 5110164 6813552 10220328 20440656