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132023120 = 2455983337
BaseRepresentation
bin1111101111010…
…00001101010000
3100012102110200012
413313220031100
5232244214440
621033414052
73162115025
oct767501520
9305373605
10132023120
1168583a19
123826a328
13214765b8
141376954c
15b8cce65
hex7de8350

132023120 has 80 divisors (see below), whose sum is σ = 316854720. Its totient is φ = 51136512.

The previous prime is 132023117. The next prime is 132023147. The reversal of 132023120 is 21320231.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 132023095 and 132023104.

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, 391592 + ... + 391928.

It is an arithmetic number, because the mean of its divisors is an integer number (3960684).

Almost surely, 2132023120 is an apocalyptic number.

132023120 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 132023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

132023120 is an abundant number, since it is smaller than the sum of its proper divisors (184831600).

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

132023120 is a wasteful number, since it uses less digits than its factorization.

132023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132023120 is about 11490.1314178733. The cubic root of 132023120 is about 509.1940621989.

Adding to 132023120 its reverse (21320231), we get a palindrome (153343351).

The spelling of 132023120 in words is "one hundred thirty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 83 118 166 236 295 332 337 415 472 590 664 674 830 944 1180 1328 1348 1660 1685 2360 2696 3320 3370 4720 4897 5392 6640 6740 9794 13480 19588 19883 24485 26960 27971 39176 39766 48970 55942 78352 79532 97940 99415 111884 139855 159064 195880 198830 223768 279710 318128 391760 397660 447536 559420 795320 1118840 1590640 1650289 2237680 3300578 6601156 8251445 13202312 16502890 26404624 33005780 66011560 132023120