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142397640 = 233257112467
BaseRepresentation
bin10000111110011…
…01000011001000
3100220221112211200
420133031003020
5242423211030
622044024200
73346234320
oct1037150310
9326845750
10142397640
117341a500
123b832060
1323669778
1414caa280
15c77bd60
hex87cd0c8

142397640 has 288 divisors, whose sum is σ = 582603840. Its totient is φ = 29525760.

The previous prime is 142397617. The next prime is 142397641. The reversal of 142397640 is 46793241.

142397640 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 9 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142397595 and 142397604.

It is not an unprimeable number, because it can be changed into a prime (142397641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304687 + ... + 305153.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2142397640 is an apocalyptic number.

142397640 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 142397640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

142397640 is an abundant number, since it is smaller than the sum of its proper divisors (440206200).

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

142397640 is a wasteful number, since it uses less digits than its factorization.

142397640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 142397640 is about 11933.0482275067. The cubic root of 142397640 is about 522.1968694162.

The spelling of 142397640 in words is "one hundred forty-two million, three hundred ninety-seven thousand, six hundred forty".