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142696080 = 2434519261
BaseRepresentation
bin10001000000101…
…01111010010000
3100221111201020000
420200111322100
5243012233310
622054250000
73351616362
oct1040257220
9327451200
10142696080
117360374a
123b956900
1323742567
1414d46d32
15c7da4c0
hex8815e90

142696080 has 300 divisors, whose sum is σ = 531636732. Its totient is φ = 35458560.

The previous prime is 142696067. The next prime is 142696111. The reversal of 142696080 is 80696241.

142696080 is a `hidden beast` number, since 1 + 42 + 6 + 9 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22924944 + 119771136 = 4788^2 + 10944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2339250 + ... + 2339310.

Almost surely, 2142696080 is an apocalyptic number.

142696080 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 142696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265818366).

142696080 is an abundant number, since it is smaller than the sum of its proper divisors (388940652).

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

142696080 is a wasteful number, since it uses less digits than its factorization.

142696080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 142696080 is about 11945.5464504559. The cubic root of 142696080 is about 522.5614252854.

The spelling of 142696080 in words is "one hundred forty-two million, six hundred ninety-six thousand, eighty".