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142049280 = 21535172
BaseRepresentation
bin10000111011110…
…00000000000000
3100220021211222110
420131320000000
5242331034110
622032335320
73343253562
oct1035700000
9326254873
10142049280
11732017aa
123b6a4540
1323577039
1414c19332
15c70da20
hex8778000

142049280 has 192 divisors, whose sum is σ = 482861880. Its totient is φ = 35651584.

The previous prime is 142049267. The next prime is 142049287. The reversal of 142049280 is 82940241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142049287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8355832 + ... + 8355848.

Almost surely, 2142049280 is an apocalyptic number.

142049280 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 142049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241430940).

142049280 is an abundant number, since it is smaller than the sum of its proper divisors (340812600).

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

142049280 is an frugal number, since it uses more digits than its factorization.

142049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 142049280 is about 11918.4428513124. The cubic root of 142049280 is about 521.7706894920.

Multiplying 142049280 by its sum of digits (30), we get a square (4261478400 = 652802).

142049280 divided by its sum of digits (30) gives a square (4734976 = 21762).

The spelling of 142049280 in words is "one hundred forty-two million, forty-nine thousand, two hundred eighty".