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142180272 = 2435132997
BaseRepresentation
bin10000111100101…
…11111110110000
3100220112111200000
420132113332300
5242344232042
622035230000
73344340513
oct1036277660
9326474600
10142180272
1173291163
123b748300
13235c1850
1414c50d7a
15c73774c
hex8797fb0

142180272 has 240 divisors, whose sum is σ = 464449440. Its totient is φ = 41803776.

The previous prime is 142180271. The next prime is 142180277. The reversal of 142180272 is 272081241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142180271) 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, 1465728 + ... + 1465824.

It is an arithmetic number, because the mean of its divisors is an integer number (1935206).

Almost surely, 2142180272 is an apocalyptic number.

142180272 is a gapful number since it is divisible by the number (12) 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 142180272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232224720).

142180272 is an abundant number, since it is smaller than the sum of its proper divisors (322269168).

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

142180272 is a wasteful number, since it uses less digits than its factorization.

142180272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 142180272 is about 11923.9369337480. The cubic root of 142180272 is about 521.9310253692.

The spelling of 142180272 in words is "one hundred forty-two million, one hundred eighty thousand, two hundred seventy-two".