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253040541 = 31322872837
BaseRepresentation
bin11110001010100…
…01011110011101
3122122010210100220
433011101132131
51004234244131
641035311553
76161544345
oct1705213635
9578123326
10253040541
1111a920116
12708ab5b9
1340568640
142586bd25
1517334e96
hexf15179d

253040541 has 16 divisors (see below), whose sum is σ = 363627264. Its totient is φ = 155594304.

The previous prime is 253040539. The next prime is 253040551. The reversal of 253040541 is 145040352.

It is not a de Polignac number, because 253040541 - 21 = 253040539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253040551) 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, 87775 + ... + 90611.

It is an arithmetic number, because the mean of its divisors is an integer number (22726704).

Almost surely, 2253040541 is an apocalyptic number.

It is an amenable number.

253040541 is a deficient number, since it is larger than the sum of its proper divisors (110586723).

253040541 is a wasteful number, since it uses less digits than its factorization.

253040541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 253040541 is about 15907.2480649545. The cubic root of 253040541 is about 632.5041351206.

Adding to 253040541 its reverse (145040352), we get a palindrome (398080893).

It can be divided in two parts, 2530 and 40541, that added together give a triangular number (43071 = T293).

The spelling of 253040541 in words is "two hundred fifty-three million, forty thousand, five hundred forty-one".

Divisors: 1 3 13 39 2287 2837 6861 8511 29731 36881 89193 110643 6488219 19464657 84346847 253040541