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61065414 = 23723607
BaseRepresentation
bin1110100011110…
…0100011000110
311020220110000000
43220330203012
5111113043124
610020502130
71341022164
oct350744306
9136813000
1061065414
1131519393
121854a946
13c860ba7
148178234
1555636c9
hex3a3c8c6

61065414 has 64 divisors (see below), whose sum is σ = 143585280. Its totient is φ = 19438056.

The previous prime is 61065383. The next prime is 61065427. The reversal of 61065414 is 41456016.

61065414 is a `hidden beast` number, since 6 + 1 + 0 + 654 + 1 + 4 = 666.

61065414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 100299 + ... + 100905.

It is an arithmetic number, because the mean of its divisors is an integer number (2243520).

Almost surely, 261065414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61065414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71792640).

61065414 is an abundant number, since it is smaller than the sum of its proper divisors (82519866).

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

61065414 is an equidigital number, since it uses as much as digits as its factorization.

61065414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61065414 is about 7814.4362560584. The cubic root of 61065414 is about 393.7903795324.

The spelling of 61065414 in words is "sixty-one million, sixty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 607 621 729 1214 1242 1458 1821 1863 2187 3642 3726 4374 5463 5589 10926 11178 13961 16389 16767 27922 32778 33534 41883 49167 50301 83766 98334 100602 125649 147501 251298 295002 376947 442503 753894 885006 1130841 1327509 2261682 2655018 3392523 6785046 10177569 20355138 30532707 61065414