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142093336 = 237211311063
BaseRepresentation
bin10000111100000…
…10110000011000
3100220101002102011
420132002300120
5242333441321
622033315304
73343526200
oct1036026030
9326332364
10142093336
1173231910
123b705b34
13235910c8
1414c2b400
15c71bae1
hex8782c18

142093336 has 96 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 53524800.

The previous prime is 142093309. The next prime is 142093349. The reversal of 142093336 is 633390241.

It is a super-2 number, since 2×1420933362 = 40381032271217792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 142093298 and 142093307.

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, 133141 + ... + 134203.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2142093336 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 142093336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

142093336 is an abundant number, since it is smaller than the sum of its proper divisors (207239144).

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

142093336 is a wasteful number, since it uses less digits than its factorization.

142093336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 142093336 is about 11920.2909360468. The cubic root of 142093336 is about 521.8246255942.

The spelling of 142093336 in words is "one hundred forty-two million, ninety-three thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 308 341 392 434 539 616 682 868 1063 1078 1364 1519 1736 2126 2156 2387 2728 3038 4252 4312 4774 6076 7441 8504 9548 11693 12152 14882 16709 19096 23386 29764 32953 33418 46772 52087 59528 65906 66836 81851 93544 104174 131812 133672 163702 208348 230671 263624 327404 362483 416696 461342 572957 654808 724966 922684 1145914 1449932 1614697 1845368 2291828 2537381 2899864 3229394 4583656 5074762 6458788 10149524 12917576 17761667 20299048 35523334 71046668 142093336