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131514320 = 2457234847
BaseRepresentation
bin1111101011010…
…11111111010000
3100011110121201202
413311223333100
5232131424240
621014450332
73154565450
oct765537720
9304417652
10131514320
1168266723
12380639a8
1321328b32
1413675d60
15b82c315
hex7d6bfd0

131514320 has 40 divisors (see below), whose sum is σ = 349453824. Its totient is φ = 45090432.

The previous prime is 131514311. The next prime is 131514323. The reversal of 131514320 is 23415131.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 131514292 and 131514301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131514323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116864 + ... + 117983.

Almost surely, 2131514320 is an apocalyptic number.

131514320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131514320 is an abundant number, since it is smaller than the sum of its proper divisors (217939504).

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

131514320 is a wasteful number, since it uses less digits than its factorization.

131514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234867 (or 234861 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 131514320 is about 11467.9693058536. The cubic root of 131514320 is about 508.5390974451.

Adding to 131514320 its reverse (23415131), we get a palindrome (154929451).

It can be divided in two parts, 13151 and 4320, that added together give a palindrome (17471).

The spelling of 131514320 in words is "one hundred thirty-one million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 234847 469694 939388 1174235 1643929 1878776 2348470 3287858 3757552 4696940 6575716 8219645 9393880 13151432 16439290 18787760 26302864 32878580 65757160 131514320