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142465800 = 233521912497
BaseRepresentation
bin10000111110111…
…01101100001000
3100221002000100010
420133131230020
5242432401200
622045311520
73346640121
oct1037355410
9327060303
10142465800
1173466734
123b8655a0
13236917b9
1414cc7048
15c792150
hex87ddb08

142465800 has 96 divisors (see below), whose sum is σ = 464925600. Its totient is φ = 35988480.

The previous prime is 142465793. The next prime is 142465859. The reversal of 142465800 is 8564241.

142465800 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5152 + ... + 17648.

It is an arithmetic number, because the mean of its divisors is an integer number (4842975).

Almost surely, 2142465800 is an apocalyptic number.

142465800 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 142465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232462800).

142465800 is an abundant number, since it is smaller than the sum of its proper divisors (322459800).

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

142465800 is a wasteful number, since it uses less digits than its factorization.

142465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 142465800 is about 11935.9038199878. The cubic root of 142465800 is about 522.2801743108.

The spelling of 142465800 in words is "one hundred forty-two million, four hundred sixty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 12497 24994 37491 49988 62485 74982 99976 124970 149964 187455 237443 249940 299928 312425 374910 474886 499880 624850 712329 749820 937275 949772 1187215 1249700 1424658 1499640 1874550 1899544 2374430 2499400 2849316 3561645 3749100 4748860 5698632 5936075 7123290 7498200 9497720 11872150 14246580 17808225 23744300 28493160 35616450 47488600 71232900 142465800