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142058840 = 23572112599
BaseRepresentation
bin10000111011110…
…10010101011000
3100220022100002112
420131322111120
5242331340330
622032451452
73343323500
oct1035722530
9326270075
10142058840
1173208a00
123b6a9b88
132357b4b1
1414c1ca00
15c711795
hex877a558

142058840 has 144 divisors (see below), whose sum is σ = 409374000. Its totient is φ = 44204160.

The previous prime is 142058831. The next prime is 142058869. The reversal of 142058840 is 48850241.

It is a happy number.

142058840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142058797 and 142058806.

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, 236861 + ... + 237459.

It is an arithmetic number, because the mean of its divisors is an integer number (2842875).

Almost surely, 2142058840 is an apocalyptic number.

142058840 is a gapful number since it is divisible by the number (10) 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 142058840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204687000).

142058840 is an abundant number, since it is smaller than the sum of its proper divisors (267315160).

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

142058840 is a wasteful number, since it uses less digits than its factorization.

142058840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 142058840 is about 11918.8439036678. The cubic root of 142058840 is about 521.7823943874.

The spelling of 142058840 in words is "one hundred forty-two million, fifty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 121 140 154 196 220 242 245 280 308 385 392 440 484 490 539 599 605 616 770 847 968 980 1078 1198 1210 1540 1694 1960 2156 2396 2420 2695 2995 3080 3388 4193 4235 4312 4792 4840 5390 5929 5990 6589 6776 8386 8470 10780 11858 11980 13178 16772 16940 20965 21560 23716 23960 26356 29351 29645 32945 33544 33880 41930 46123 47432 52712 58702 59290 65890 72479 83860 92246 117404 118580 131780 144958 146755 167720 184492 230615 234808 237160 263560 289916 293510 322861 362395 368984 461230 507353 579832 587020 645722 724790 922460 1014706 1174040 1291444 1449580 1614305 1844920 2029412 2536765 2582888 2899160 3228610 3551471 4058824 5073530 6457220 7102942 10147060 12914440 14205884 17757355 20294120 28411768 35514710 71029420 142058840