Search a number
-
+
61214136 = 23310324763
BaseRepresentation
bin1110100110000…
…0110110111000
311021012000000020
43221200312320
5111132323021
610024010440
71342211604
oct351406670
9137160006
1061214136
11316100a5
1218600a20
13c8b37a9
1481b6504
1555927c6
hex3a60db8

61214136 has 32 divisors (see below), whose sum is σ = 154527360. Its totient is φ = 20205792.

The previous prime is 61214123. The next prime is 61214137. The reversal of 61214136 is 63141216.

61214136 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61214137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9910 + ... + 14853.

It is an arithmetic number, because the mean of its divisors is an integer number (4828980).

Almost surely, 261214136 is an apocalyptic number.

It is an amenable number.

61214136 is an abundant number, since it is smaller than the sum of its proper divisors (93313224).

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

61214136 is a wasteful number, since it uses less digits than its factorization.

61214136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24875 (or 24871 counting only the distinct ones).

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

The square root of 61214136 is about 7823.9463188342. The cubic root of 61214136 is about 394.1098064598.

The spelling of 61214136 in words is "sixty-one million, two hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 2472 24763 49526 74289 99052 148578 198104 297156 594312 2550589 5101178 7651767 10202356 15303534 20404712 30607068 61214136