Search a number
-
+
61321380 = 22351779761
BaseRepresentation
bin1110100111101…
…1000010100100
311021101110010020
43221323002210
5111144241010
610030155140
71343136351
oct351730244
9137343106
1061321380
113168372a
1218652ab0
13c920553
148203628
1555b4470
hex3a7b0a4

61321380 has 96 divisors (see below), whose sum is σ = 184343040. Its totient is φ = 15175680.

The previous prime is 61321369. The next prime is 61321439. The reversal of 61321380 is 8312316.

61321380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61321380.

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 31 ways as a sum of consecutive naturals, for example, 80200 + ... + 80960.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 261321380 is an apocalyptic number.

61321380 is a gapful number since it is divisible by the number (60) 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 61321380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

61321380 is an abundant number, since it is smaller than the sum of its proper divisors (123021660).

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

61321380 is a wasteful number, since it uses less digits than its factorization.

61321380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61321380 is about 7830.7968943141. The cubic root of 61321380 is about 394.3398255168.

Adding to 61321380 its reverse (8312316), we get a palindrome (69633696).

The spelling of 61321380 in words is "sixty-one million, three hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 79 85 102 158 170 204 237 255 316 340 395 474 510 761 790 948 1020 1185 1343 1522 1580 2283 2370 2686 3044 3805 4029 4566 4740 5372 6715 7610 8058 9132 11415 12937 13430 15220 16116 20145 22830 25874 26860 38811 40290 45660 51748 60119 64685 77622 80580 120238 129370 155244 180357 194055 240476 258740 300595 360714 388110 601190 721428 776220 901785 1022023 1202380 1803570 2044046 3066069 3607140 4088092 5110115 6132138 10220230 12264276 15330345 20440460 30660690 61321380