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131415004 = 22741114473
BaseRepresentation
bin1111101010100…
…11101111011100
3100011021120111101
413311103233130
5232120240004
621012402444
73154003060
oct765235734
9304246441
10131415004
11681a9046
1238016424
13212c2876
141364baa0
15b80cba4
hex7d53bdc

131415004 has 24 divisors (see below), whose sum is σ = 269242848. Its totient is φ = 54946560.

The previous prime is 131414971. The next prime is 131415017. The reversal of 131415004 is 400514131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56089 + ... + 58384.

It is an arithmetic number, because the mean of its divisors is an integer number (11218452).

Almost surely, 2131415004 is an apocalyptic number.

131415004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131415004 is an abundant number, since it is smaller than the sum of its proper divisors (137827844).

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

131415004 is a wasteful number, since it uses less digits than its factorization.

131415004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114525 (or 114523 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 131415004 is about 11463.6383404223. The cubic root of 131415004 is about 508.4110536246.

Adding to 131415004 its reverse (400514131), we get a palindrome (531929135).

It can be divided in two parts, 13141 and 5004, that added together give a triangular number (18145 = T190).

The spelling of 131415004 in words is "one hundred thirty-one million, four hundred fifteen thousand, four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 1148 114473 228946 457892 801311 1602622 3205244 4693393 9386786 18773572 32853751 65707502 131415004