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142049820 = 2235111371571
BaseRepresentation
bin10000111011110…
…00001000011100
3100220021212201110
420131320020130
5242331043240
622032342020
73343255263
oct1035701034
9326255643
10142049820
1173202150
123b6a4910
1323577363
1414c195da
15c70dc80
hex877821c

142049820 has 96 divisors (see below), whose sum is σ = 437342976. Its totient is φ = 34163200.

The previous prime is 142049819. The next prime is 142049837. The reversal of 142049820 is 28940241.

142049820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89635 + ... + 91205.

It is an arithmetic number, because the mean of its divisors is an integer number (4555656).

Almost surely, 2142049820 is an apocalyptic number.

142049820 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 142049820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218671488).

142049820 is an abundant number, since it is smaller than the sum of its proper divisors (295293156).

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

142049820 is a wasteful number, since it uses less digits than its factorization.

142049820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 142049820 is about 11918.4655052570. The cubic root of 142049820 is about 521.7713506612.

The spelling of 142049820 in words is "one hundred forty-two million, forty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1571 1644 2055 2740 3014 3142 4110 4521 4713 6028 6284 7535 7855 8220 9042 9426 15070 15710 17281 18084 18852 22605 23565 30140 31420 34562 45210 47130 51843 69124 86405 90420 94260 103686 172810 207372 215227 259215 345620 430454 518430 645681 860908 1036860 1076135 1291362 2152270 2367497 2582724 3228405 4304540 4734994 6456810 7102491 9469988 11837485 12913620 14204982 23674970 28409964 35512455 47349940 71024910 142049820