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142825368 = 23374192029
BaseRepresentation
bin10001000001101…
…01011110011000
3100221202021120110
420200311132120
5243030402433
622101124320
73352665330
oct1040653630
9327667513
10142825368
11736918a4
123b9b96a0
132378936a
1414d7c0c0
15c813963
hex8835798

142825368 has 64 divisors (see below), whose sum is σ = 409248000. Its totient is φ = 40689792.

The previous prime is 142825363. The next prime is 142825369. The reversal of 142825368 is 863528241.

142825368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142825363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69378 + ... + 71406.

It is an arithmetic number, because the mean of its divisors is an integer number (6394500).

Almost surely, 2142825368 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 142825368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204624000).

142825368 is an abundant number, since it is smaller than the sum of its proper divisors (266422632).

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

142825368 is a wasteful number, since it uses less digits than its factorization.

142825368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2460 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 142825368 is about 11950.9567817811. The cubic root of 142825368 is about 522.7191977287.

It can be divided in two parts, 1428 and 25368, that added together give a triangular number (26796 = T231).

The spelling of 142825368 in words is "one hundred forty-two million, eight hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 419 838 1257 1676 2029 2514 2933 3352 4058 5028 5866 6087 8116 8799 10056 11732 12174 14203 16232 17598 23464 24348 28406 35196 42609 48696 56812 70392 85218 113624 170436 340872 850151 1700302 2550453 3400604 5100906 5951057 6801208 10201812 11902114 17853171 20403624 23804228 35706342 47608456 71412684 142825368