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142074240 = 2735711312
BaseRepresentation
bin10000111011111…
…10000110000000
3100220100010012220
420131332012000
5242332333430
622033051040
73343416420
oct1035760600
9326303186
10142074240
1173219530
123b6b6a80
13235854c9
1414c24480
15c716110
hex877e180

142074240 has 384 divisors, whose sum is σ = 583407360. Its totient is φ = 28569600.

The previous prime is 142074227. The next prime is 142074241. The reversal of 142074240 is 42470241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142074240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142074241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4583025 + ... + 4583055.

It is an arithmetic number, because the mean of its divisors is an integer number (1519290).

Almost surely, 2142074240 is an apocalyptic number.

142074240 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 142074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291703680).

142074240 is an abundant number, since it is smaller than the sum of its proper divisors (441333120).

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

142074240 is a wasteful number, since it uses less digits than its factorization.

142074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 142074240 is about 11919.4899219723. The cubic root of 142074240 is about 521.8012484494.

The spelling of 142074240 in words is "one hundred forty-two million, seventy-four thousand, two hundred forty".