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142474600 = 23525313441
BaseRepresentation
bin10000111110111…
…11110101101000
3100221002110102001
420133133311220
5242433141400
622045420344
73350004562
oct1037376550
9327073361
10142474600
1173472304
123b86a6b4
13236957c8
1414cca332
15c794a6a
hex87dfd68

142474600 has 48 divisors (see below), whose sum is σ = 337528620. Its totient is φ = 55910400.

The previous prime is 142474573. The next prime is 142474601. The reversal of 142474600 is 6474241.

It can be written as a sum of positive squares in 6 ways, for example, as 39614436 + 102860164 = 6294^2 + 10142^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (142474601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3880 + ... + 17320.

Almost surely, 2142474600 is an apocalyptic number.

142474600 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 142474600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168764310).

142474600 is an abundant number, since it is smaller than the sum of its proper divisors (195054020).

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

142474600 is a wasteful number, since it uses less digits than its factorization.

142474600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13510 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 142474600 is about 11936.2724499737. The cubic root of 142474600 is about 522.2909277007.

The spelling of 142474600 in words is "one hundred forty-two million, four hundred seventy-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 13441 26882 53764 67205 107528 134410 268820 336025 537640 672050 712373 1344100 1424746 2688200 2849492 3561865 5698984 7123730 14247460 17809325 28494920 35618650 71237300 142474600