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142256088 = 2335132433
BaseRepresentation
bin10000111101010…
…10011111011000
3100220200100200000
420132222133120
5242404143323
622041013000
73345104532
oct1036523730
9326610600
10142256088
1173333117
123b784160
132361a200
1414c70852
15c74ee43
hex87aa7d8

142256088 has 144 divisors (see below), whose sum is σ = 433644120. Its totient is φ = 43670016.

The previous prime is 142256071. The next prime is 142256113. The reversal of 142256088 is 880652241.

142256088 is a `hidden beast` number, since 1 + 42 + 2 + 5 + 608 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 328320 + ... + 328752.

Almost surely, 2142256088 is an apocalyptic number.

142256088 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 142256088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822060).

142256088 is an abundant number, since it is smaller than the sum of its proper divisors (291388032).

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

142256088 is a wasteful number, since it uses less digits than its factorization.

142256088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 142256088 is about 11927.1156613827. The cubic root of 142256088 is about 522.0237801295.

The spelling of 142256088 in words is "one hundred forty-two million, two hundred fifty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 243 312 324 338 351 433 468 486 507 648 676 702 866 936 972 1014 1053 1299 1352 1404 1521 1732 1944 2028 2106 2598 2808 3042 3159 3464 3897 4056 4212 4563 5196 5629 6084 6318 7794 8424 9126 10392 11258 11691 12168 12636 13689 15588 16887 18252 22516 23382 25272 27378 31176 33774 35073 36504 41067 45032 46764 50661 54756 67548 70146 73177 82134 93528 101322 105219 109512 135096 140292 146354 151983 164268 202644 210438 219531 280584 292708 303966 328536 405288 420876 439062 455949 585416 607932 658593 841752 878124 911898 1215864 1317186 1367847 1756248 1823796 1975779 2634372 2735694 3647592 3951558 5268744 5471388 5927337 7903116 10942776 11854674 15806232 17782011 23709348 35564022 47418696 71128044 142256088