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142807264 = 2541891223
BaseRepresentation
bin10001000001100…
…01000011100000
3100221201100201221
420200301003200
5243024313024
622100504424
73352561465
oct1040610340
9327640657
10142807264
117367a236
123b9ab114
1323781052
1414d7566c
15c80d3e4
hex88310e0

142807264 has 48 divisors (see below), whose sum is σ = 291483360. Its totient is φ = 68823040.

The previous prime is 142807261. The next prime is 142807267. The reversal of 142807264 is 462708241.

It is a happy number.

142807264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142807261) and next prime (142807267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142807261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116157 + ... + 117379.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2142807264 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 142807264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145741680).

142807264 is an abundant number, since it is smaller than the sum of its proper divisors (148676096).

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

142807264 is a wasteful number, since it uses less digits than its factorization.

142807264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 142807264 is about 11950.1993288815. The cubic root of 142807264 is about 522.6971108302.

The spelling of 142807264 in words is "one hundred forty-two million, eight hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 89 164 178 328 356 656 712 1223 1312 1424 2446 2848 3649 4892 7298 9784 14596 19568 29192 39136 50143 58384 100286 108847 116768 200572 217694 401144 435388 802288 870776 1604576 1741552 3483104 4462727 8925454 17850908 35701816 71403632 142807264