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142380520 = 23531199577
BaseRepresentation
bin10000111110010…
…00110111101000
3100220220200100121
420133020313220
5242422134040
622043413024
73346133362
oct1037106750
9326820317
10142380520
1173408657
123b824174
1323661a39
1414ca3d32
15c776c4a
hex87c8de8

142380520 has 64 divisors (see below), whose sum is σ = 332928000. Its totient is φ = 54743040.

The previous prime is 142380499. The next prime is 142380541. The reversal of 142380520 is 25083241.

142380520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142380499) and next prime (142380541).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246472 + ... + 247048.

It is an arithmetic number, because the mean of its divisors is an integer number (5202000).

Almost surely, 2142380520 is an apocalyptic number.

142380520 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 142380520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166464000).

142380520 is an abundant number, since it is smaller than the sum of its proper divisors (190547480).

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

142380520 is a wasteful number, since it uses less digits than its factorization.

142380520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 142380520 is about 11932.3308703706. The cubic root of 142380520 is about 522.1759412400.

The spelling of 142380520 in words is "one hundred forty-two million, three hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 199 248 310 398 577 620 796 995 1154 1240 1592 1990 2308 2885 3980 4616 5770 6169 7960 11540 12338 17887 23080 24676 30845 35774 49352 61690 71548 89435 114823 123380 143096 178870 229646 246760 357740 459292 574115 715480 918584 1148230 2296460 3559513 4592920 7119026 14238052 17797565 28476104 35595130 71190260 142380520