Search a number
-
+
132003120 = 24354312791
BaseRepresentation
bin1111101111000…
…11010100110000
3100012101110020110
413313203110300
5232243044440
621033141320
73162002514
oct767432460
9305343213
10132003120
116856a997
123825a840
132146a472
1413762144
15b8c7080
hex7de3530

132003120 has 80 divisors (see below), whose sum is σ = 418758912. Its totient is φ = 34379520.

The previous prime is 132003103. The next prime is 132003139. The reversal of 132003120 is 21300231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132003096 and 132003105.

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, 3925 + ... + 16715.

Almost surely, 2132003120 is an apocalyptic number.

132003120 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 132003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209379456).

132003120 is an abundant number, since it is smaller than the sum of its proper divisors (286755792).

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

132003120 is a wasteful number, since it uses less digits than its factorization.

132003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12850 (or 12844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132003120 is about 11489.2610728454. The cubic root of 132003120 is about 509.1683485321.

Adding to 132003120 its reverse (21300231), we get a palindrome (153303351).

The spelling of 132003120 in words is "one hundred thirty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 12791 25582 38373 51164 63955 76746 102328 127910 153492 191865 204656 255820 306984 383730 511640 550013 613968 767460 1023280 1100026 1534920 1650039 2200052 2750065 3069840 3300078 4400104 5500130 6600156 8250195 8800208 11000260 13200312 16500390 22000520 26400624 33000780 44001040 66001560 132003120