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132300120 = 23351764853
BaseRepresentation
bin1111110001010…
…11110101011000
3100012221112122110
413320223311120
5232332100440
621043352320
73164350431
oct770536530
9305845573
10132300120
1168753047
12383826a0
13215426c4
14137dc488
15b935080
hex7e2bd58

132300120 has 64 divisors (see below), whose sum is σ = 420253920. Its totient is φ = 33204224.

The previous prime is 132300107. The next prime is 132300127. The reversal of 132300120 is 21003231.

It is a happy number.

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 = 132300096 and 132300105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30387 + ... + 34466.

Almost surely, 2132300120 is an apocalyptic number.

132300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300120 is an abundant number, since it is smaller than the sum of its proper divisors (287953800).

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

132300120 is a wasteful number, since it uses less digits than its factorization.

132300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64884 (or 64880 counting only the distinct ones).

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

The square root of 132300120 is about 11502.1789240126. The cubic root of 132300120 is about 509.5499297314.

Adding to 132300120 its reverse (21003231), we get a palindrome (153303351).

The spelling of 132300120 in words is "one hundred thirty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 64853 129706 194559 259412 324265 389118 518824 648530 778236 972795 1102501 1297060 1556472 1945590 2205002 2594120 3307503 3891180 4410004 5512505 6615006 7782360 8820008 11025010 13230012 16537515 22050020 26460024 33075030 44100040 66150060 132300120