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12903480 = 2332573491
BaseRepresentation
bin110001001110…
…010000111000
3220021120020200
4301032100320
511300402410
61140322200
7214451322
oct61162070
926246220
1012903480
117313637
1243a3360
13289a2c5
1419dc612
1511ed3c0
hexc4e438

12903480 has 96 divisors (see below), whose sum is σ = 42597360. Its totient is φ = 3386880.

The previous prime is 12903467. The next prime is 12903481. The reversal of 12903480 is 8430921.

It is a super-2 number, since 2×129034802 = 332999592220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26035 + ... + 26525.

Almost surely, 212903480 is an apocalyptic number.

12903480 is a gapful number since it is divisible by the number (10) 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 12903480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21298680).

12903480 is an abundant number, since it is smaller than the sum of its proper divisors (29693880).

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

12903480 is a wasteful number, since it uses less digits than its factorization.

12903480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12903480 is about 3592.1414226057. The cubic root of 12903480 is about 234.5500974219.

It can be divided in two parts, 12903 and 480, that multiplied together give a triangular number (6193440 = T3519).

The spelling of 12903480 in words is "twelve million, nine hundred three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 491 584 657 730 876 982 1095 1314 1460 1473 1752 1964 2190 2455 2628 2920 2946 3285 3928 4380 4419 4910 5256 5892 6570 7365 8760 8838 9820 11784 13140 14730 17676 19640 22095 26280 29460 35352 35843 44190 58920 71686 88380 107529 143372 176760 179215 215058 286744 322587 358430 430116 537645 645174 716860 860232 1075290 1290348 1433720 1612935 2150580 2580696 3225870 4301160 6451740 12903480