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142195680 = 253251147191
BaseRepresentation
bin10000111100110…
…11101111100000
3100220120021210200
420132123233200
5242400230210
622035425200
73344433444
oct1036335740
9326507720
10142195680
11732a17a0
123b755200
13235c8873
1414c56824
15c73c0c0
hex879bbe0

142195680 has 288 divisors, whose sum is σ = 543449088. Its totient is φ = 33561600.

The previous prime is 142195673. The next prime is 142195687. The reversal of 142195680 is 86591241.

It is an interprime number because it is at equal distance from previous prime (142195673) and next prime (142195687).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1421956802 = 40439222821324800, which contains 22 as substring.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142195687) 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, 744385 + ... + 744575.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2142195680 is an apocalyptic number.

142195680 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 142195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

142195680 is an abundant number, since it is smaller than the sum of its proper divisors (401253408).

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

142195680 is a wasteful number, since it uses less digits than its factorization.

142195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 142195680 is about 11924.5830115774. The cubic root of 142195680 is about 521.9498784835.

The spelling of 142195680 in words is "one hundred forty-two million, one hundred ninety-five thousand, six hundred eighty".