Search a number
-
+
236141040 = 24354572153
BaseRepresentation
bin11100001001100…
…11100111110000
3121110100012121110
432010303213300
5440423003130
635233153320
75565110562
oct1604634760
9543305543
10236141040
11111328293
12670bb840
1339bcc535
142350d332
1515ae7ab0
hexe1339f0

236141040 has 80 divisors (see below), whose sum is σ = 733979808. Its totient is φ = 62803968.

The previous prime is 236141039. The next prime is 236141053. The reversal of 236141040 is 40141632.

236141040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 236140998 and 236141016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108604 + ... + 110756.

Almost surely, 2236141040 is an apocalyptic number.

236141040 is a gapful number since it is divisible by the number (20) 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 236141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366989904).

236141040 is an abundant number, since it is smaller than the sum of its proper divisors (497838768).

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

236141040 is a wasteful number, since it uses less digits than its factorization.

236141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 236141040 is about 15366.8812710973. The cubic root of 236141040 is about 618.0977422094.

Adding to 236141040 its reverse (40141632), we get a palindrome (276282672).

The spelling of 236141040 in words is "two hundred thirty-six million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 457 914 1371 1828 2153 2285 2742 3656 4306 4570 5484 6459 6855 7312 8612 9140 10765 10968 12918 13710 17224 18280 21530 21936 25836 27420 32295 34448 36560 43060 51672 54840 64590 86120 103344 109680 129180 172240 258360 516720 983921 1967842 2951763 3935684 4919605 5903526 7871368 9839210 11807052 14758815 15742736 19678420 23614104 29517630 39356840 47228208 59035260 78713680 118070520 236141040