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142078248 = 233213178929
BaseRepresentation
bin10000111011111…
…11000100101000
3100220100022201100
420131333010220
5242333000443
622033121400
73343434204
oct1035770450
9326308640
10142078248
1173221544
123b6b9260
1323587290
1414c25b04
15c7173d3
hex877f128

142078248 has 96 divisors (see below), whose sum is σ = 438820200. Its totient is φ = 41140224.

The previous prime is 142078229. The next prime is 142078267. The reversal of 142078248 is 842870241.

142078248 is digitally balanced in base 2, 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 (142078229) and next prime (142078267).

It can be written as a sum of positive squares in 4 ways, for example, as 78110244 + 63968004 = 8838^2 + 7998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11448 + ... + 20376.

Almost surely, 2142078248 is an apocalyptic number.

142078248 is a gapful number since it is divisible by the number (18) 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 142078248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219410100).

142078248 is an abundant number, since it is smaller than the sum of its proper divisors (296741952).

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

142078248 is a wasteful number, since it uses less digits than its factorization.

142078248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 142078248 is about 11919.6580487865. The cubic root of 142078248 is about 521.8061551792.

The spelling of 142078248 in words is "one hundred forty-two million, seventy-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 8929 15912 17858 26787 35716 53574 71432 80361 107148 116077 151793 160722 214296 232154 303586 321444 348231 455379 464308 607172 642888 696462 910758 928616 1044693 1214344 1366137 1392924 1821516 1973309 2089386 2732274 2785848 3643032 3946618 4178772 5464548 5919927 7893236 8357544 10929096 11839854 15786472 17759781 23679708 35519562 47359416 71039124 142078248