Search a number
-
+
142364640 = 25351159457
BaseRepresentation
bin10000111110001…
…00111111100000
3100220212212120110
420133010333200
5242421132030
622043211320
73346036155
oct1037047740
9326785513
10142364640
11733a7730
123b816b40
1323657742
1414c9c22c
15c7721b0
hex87c4fe0

142364640 has 192 divisors, whose sum is σ = 498597120. Its totient is φ = 33853440.

The previous prime is 142364633. The next prime is 142364653. The reversal of 142364640 is 46463241.

142364640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 142364598 and 142364607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311292 + ... + 311748.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 2142364640 is an apocalyptic number.

142364640 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 142364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249298560).

142364640 is an abundant number, since it is smaller than the sum of its proper divisors (356232480).

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

142364640 is a wasteful number, since it uses less digits than its factorization.

142364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 142364640 is about 11931.6654327885. The cubic root of 142364640 is about 522.1565273898.

The spelling of 142364640 in words is "one hundred forty-two million, three hundred sixty-four thousand, six hundred forty".