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132130416 = 24311251997
BaseRepresentation
bin1111110000000…
…10011001110000
3100012121220212010
413320002121300
5232311133131
621040002520
73163042605
oct770023160
9305556763
10132130416
11686475a0
1238300440
13214b33a2
14137966ac
15b8eeb46
hex7e02670

132130416 has 80 divisors (see below), whose sum is σ = 374226048. Its totient is φ = 39840000.

The previous prime is 132130403. The next prime is 132130447. The reversal of 132130416 is 614031231.

132130416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132130392 and 132130401.

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, 132030 + ... + 133026.

Almost surely, 2132130416 is an apocalyptic number.

132130416 is a gapful number since it is divisible by the number (16) 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 132130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187113024).

132130416 is an abundant number, since it is smaller than the sum of its proper divisors (242095632).

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

132130416 is a wasteful number, since it uses less digits than its factorization.

132130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 132130416 is about 11494.7995197828. The cubic root of 132130416 is about 509.3319665604.

Adding to 132130416 its reverse (614031231), we get a palindrome (746161647).

The spelling of 132130416 in words is "one hundred thirty-two million, one hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 251 264 502 528 753 997 1004 1506 1994 2008 2761 2991 3012 3988 4016 5522 5982 6024 7976 8283 10967 11044 11964 12048 15952 16566 21934 22088 23928 32901 33132 43868 44176 47856 65802 66264 87736 131604 132528 175472 250247 263208 500494 526416 750741 1000988 1501482 2001976 2752717 3002964 4003952 5505434 6005928 8258151 11010868 12011856 16516302 22021736 33032604 44043472 66065208 132130416