Search a number
-
+
61318656 = 293271901
BaseRepresentation
bin1110100111101…
…0011000000000
311021101022101100
43221322120000
5111144144111
610030134400
71343125410
oct351723000
9137338340
1061318656
1131681683
1218651400
13c91c239
148202640
1555b3756
hex3a7a600

61318656 has 120 divisors (see below), whose sum is σ = 202357584. Its totient is φ = 17510400.

The previous prime is 61318633. The next prime is 61318661. The reversal of 61318656 is 65681316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61318656.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 31306 + ... + 33206.

Almost surely, 261318656 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 61318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101178792).

61318656 is an abundant number, since it is smaller than the sum of its proper divisors (141038928).

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

61318656 is a wasteful number, since it uses less digits than its factorization.

61318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1913 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61318656 is about 7830.6229637239. The cubic root of 61318656 is about 394.3339863484. Note that the first 3 decimals are identical.

The spelling of 61318656 in words is "sixty-one million, three hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 1901 2016 2304 2688 3584 3802 4032 4608 5376 5703 7604 8064 10752 11406 13307 15208 16128 17109 22812 26614 30416 32256 34218 39921 45624 53228 60832 68436 79842 91248 106456 119763 121664 136872 159684 182496 212912 239526 243328 273744 319368 364992 425824 479052 486656 547488 638736 729984 851648 958104 973312 1094976 1277472 1459968 1703296 1916208 2189952 2554944 2919936 3406592 3832416 4379904 5109888 6813184 7664832 8759808 10219776 15329664 20439552 30659328 61318656