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132930108 = 223231311383
BaseRepresentation
bin1111110110001…
…01101000111100
3100021010112211100
413323011220330
5233012230413
621105053100
73202613223
oct773055074
9307115740
10132930108
11690433a3
1238627190
132170338c
1413923cba
15ba0ba73
hex7ec5a3c

132930108 has 72 divisors (see below), whose sum is σ = 348880896. Its totient is φ = 42631200.

The previous prime is 132930073. The next prime is 132930121. The reversal of 132930108 is 801039231.

It is a super-2 number, since 2×1329301082 = 35340827225783328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346885 + ... + 347267.

It is an arithmetic number, because the mean of its divisors is an integer number (4845568).

Almost surely, 2132930108 is an apocalyptic number.

132930108 is a gapful number since it is divisible by the number (18) 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 132930108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174440448).

132930108 is an abundant number, since it is smaller than the sum of its proper divisors (215950788).

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

132930108 is a wasteful number, since it uses less digits than its factorization.

132930108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 132930108 is about 11529.5319939710. The cubic root of 132930108 is about 510.3574426164.

Adding to 132930108 its reverse (801039231), we get a palindrome (933969339).

The spelling of 132930108 in words is "one hundred thirty-two million, nine hundred thirty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 311 372 383 558 622 766 933 1116 1149 1244 1532 1866 2298 2799 3447 3732 4596 5598 6894 9641 11196 11873 13788 19282 23746 28923 35619 38564 47492 57846 71238 86769 106857 115692 119113 142476 173538 213714 238226 347076 357339 427428 476452 714678 1072017 1429356 2144034 3692503 4288068 7385006 11077509 14770012 22155018 33232527 44310036 66465054 132930108