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142304240 = 24513293467
BaseRepresentation
bin10000111101101…
…10001111110000
3100220202210201102
420132312033300
5242412213430
622042023532
73345365111
oct1036661760
9326683642
10142304240
1173366311
123b7a7ba8
13236360c0
1414c84208
15c75e345
hex87b63f0

142304240 has 80 divisors (see below), whose sum is σ = 358289568. Its totient is φ = 52251648.

The previous prime is 142304237. The next prime is 142304249. The reversal of 142304240 is 42403241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142304249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304487 + ... + 304953.

Almost surely, 2142304240 is an apocalyptic number.

142304240 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 142304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

142304240 is an abundant number, since it is smaller than the sum of its proper divisors (215985328).

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

142304240 is a wasteful number, since it uses less digits than its factorization.

142304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 142304240 is about 11929.1340842494. The cubic root of 142304240 is about 522.0826731063.

Adding to 142304240 its reverse (42403241), we get a palindrome (184707481).

Subtracting from 142304240 its reverse (42403241), we obtain a palindrome (99900999).

The spelling of 142304240 in words is "one hundred forty-two million, three hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 293 467 520 586 934 1040 1172 1465 1868 2335 2344 2930 3736 3809 4670 4688 5860 6071 7472 7618 9340 11720 12142 15236 18680 19045 23440 24284 30355 30472 37360 38090 48568 60710 60944 76180 97136 121420 136831 152360 242840 273662 304720 485680 547324 684155 1094648 1368310 1778803 2189296 2736620 3557606 5473240 7115212 8894015 10946480 14230424 17788030 28460848 35576060 71152120 142304240