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142352700 = 223527531279
BaseRepresentation
bin10000111110000…
…10000100111100
3100220212021012020
420133002010330
5242420241300
622043040140
73345656310
oct1037020474
9326767166
10142352700
1173399766
123b810050
1323652189
1414c97b40
15c76d8a0
hex87c213c

142352700 has 144 divisors (see below), whose sum is σ = 479969280. Its totient is φ = 31898880.

The previous prime is 142352671. The next prime is 142352759. The reversal of 142352700 is 7253241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110661 + ... + 111939.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2142352700 is an apocalyptic number.

142352700 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 142352700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

142352700 is an abundant number, since it is smaller than the sum of its proper divisors (337616580).

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

142352700 is a wasteful number, since it uses less digits than its factorization.

142352700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 142352700 is about 11931.1650730346. The cubic root of 142352700 is about 522.1419293753.

The spelling of 142352700 in words is "one hundred forty-two million, three hundred fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 53 60 70 75 84 100 105 106 140 150 159 175 210 212 265 300 318 350 371 420 525 530 636 700 742 795 1050 1060 1113 1279 1325 1484 1590 1855 2100 2226 2558 2650 3180 3710 3837 3975 4452 5116 5300 5565 6395 7420 7674 7950 8953 9275 11130 12790 15348 15900 17906 18550 19185 22260 25580 26859 27825 31975 35812 37100 38370 44765 53718 55650 63950 67787 76740 89530 95925 107436 111300 127900 134295 135574 179060 191850 203361 223825 268590 271148 338935 383700 406722 447650 474509 537180 671475 677870 813444 895300 949018 1016805 1342950 1355740 1423527 1694675 1898036 2033610 2372545 2685900 2847054 3389350 4067220 4745090 5084025 5694108 6778700 7117635 9490180 10168050 11862725 14235270 20336100 23725450 28470540 35588175 47450900 71176350 142352700