Search a number
-
+
61342776 = 233211731061
BaseRepresentation
bin1110101000000…
…0010000111000
311021102112110200
43222000100320
5111200432101
610030442200
71343255625
oct352002070
9137375420
1061342776
1131698810
1218663360
13c92a201
14820b34c
1555ba986
hex3a80438

61342776 has 96 divisors (see below), whose sum is σ = 183895920. Its totient is φ = 18316800.

The previous prime is 61342751. The next prime is 61342777. The reversal of 61342776 is 67724316.

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 61342776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61342777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57286 + ... + 58346.

Almost surely, 261342776 is an apocalyptic number.

61342776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61342776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91947960).

61342776 is an abundant number, since it is smaller than the sum of its proper divisors (122553144).

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

61342776 is a wasteful number, since it uses less digits than its factorization.

61342776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 61342776 is about 7832.1629196538. The cubic root of 61342776 is about 394.3856839857.

The spelling of 61342776 in words is "sixty-one million, three hundred forty-two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1061 1314 1606 1752 2122 2409 2628 3183 3212 4244 4818 5256 6366 6424 7227 8488 9549 9636 11671 12732 14454 19098 19272 23342 25464 28908 35013 38196 46684 57816 70026 76392 77453 93368 105039 140052 154906 210078 232359 280104 309812 420156 464718 619624 697077 840312 851983 929436 1394154 1703966 1858872 2555949 2788308 3407932 5111898 5576616 6815864 7667847 10223796 15335694 20447592 30671388 61342776