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142686824 = 23722391523
BaseRepresentation
bin10001000000100…
…11101001101000
3100221111020112012
420200103221220
5243011434244
622054135052
73351550400
oct1040235150
9327436465
10142686824
11735a77a5
123b951488
132373b297
1414d43800
15c7d789e
hex8813a68

142686824 has 48 divisors (see below), whose sum is σ = 312724800. Its totient is φ = 60855648.

The previous prime is 142686823. The next prime is 142686829. The reversal of 142686824 is 428686241.

It is not an unprimeable number, because it can be changed into a prime (142686821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92927 + ... + 94449.

It is an arithmetic number, because the mean of its divisors is an integer number (6515100).

Almost surely, 2142686824 is an apocalyptic number.

142686824 is a gapful number since it is divisible by the number (14) 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 142686824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156362400).

142686824 is an abundant number, since it is smaller than the sum of its proper divisors (170037976).

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

142686824 is a wasteful number, since it uses less digits than its factorization.

142686824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 142686824 is about 11945.1590194522. The cubic root of 142686824 is about 522.5501263693.

The spelling of 142686824 in words is "one hundred forty-two million, six hundred eighty-six thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 239 392 478 956 1523 1673 1912 3046 3346 6092 6692 10661 11711 12184 13384 21322 23422 42644 46844 74627 85288 93688 149254 298508 363997 597016 727994 1455988 2547979 2911976 5095958 10191916 17835853 20383832 35671706 71343412 142686824