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142377120 = 2532598873
BaseRepresentation
bin10000111110010…
…00000010100000
3100220220111200200
420133020002200
5242422031440
622043345200
73346120434
oct1037100240
9326814620
10142377120
1173406046
123b822200
1323660322
1414ca29c4
15c775c30
hex87c80a0

142377120 has 72 divisors (see below), whose sum is σ = 485866836. Its totient is φ = 37966848.

The previous prime is 142377119. The next prime is 142377139. The reversal of 142377120 is 21773241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140849424 + 1527696 = 11868^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47997 + ... + 50876.

Almost surely, 2142377120 is an apocalyptic number.

142377120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142377120 is an abundant number, since it is smaller than the sum of its proper divisors (343489716).

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

142377120 is a wasteful number, since it uses less digits than its factorization.

142377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98894 (or 98883 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 142377120 is about 11932.1883994513. The cubic root of 142377120 is about 522.1717847437.

The spelling of 142377120 in words is "one hundred forty-two million, three hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 98873 197746 296619 395492 494365 593238 790984 889857 988730 1186476 1483095 1581968 1779714 1977460 2372952 2966190 3163936 3559428 3954920 4449285 4745904 5932380 7118856 7909840 8898570 9491808 11864760 14237712 15819680 17797140 23729520 28475424 35594280 47459040 71188560 142377120