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61215140 = 22573311321
BaseRepresentation
bin1110100110000…
…1000110100100
311021012001101102
43221201012210
5111132341030
610024015232
71342214540
oct351410644
9137161342
1061215140
1131610928
1218601518
13c8b409c
1481b6a20
155592c45
hex3a611a4

61215140 has 48 divisors (see below), whose sum is σ = 147471744. Its totient is φ = 20908800.

The previous prime is 61215127. The next prime is 61215149. The reversal of 61215140 is 4151216.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (61215149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45680 + ... + 47000.

It is an arithmetic number, because the mean of its divisors is an integer number (3072328).

Almost surely, 261215140 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 61215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735872).

61215140 is an abundant number, since it is smaller than the sum of its proper divisors (86256604).

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

61215140 is a wasteful number, since it uses less digits than its factorization.

61215140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 61215140 is about 7824.0104805656. The cubic root of 61215140 is about 394.1119611041. Note that the first 3 decimals are identical.

Adding to 61215140 its reverse (4151216), we get a palindrome (65366356).

The spelling of 61215140 in words is "sixty-one million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 331 662 1321 1324 1655 2317 2642 3310 4634 5284 6605 6620 9247 9268 11585 13210 18494 23170 26420 36988 46235 46340 92470 184940 437251 874502 1749004 2186255 3060757 4372510 6121514 8745020 12243028 15303785 30607570 61215140