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132420680 = 2357716661
BaseRepresentation
bin1111110010010…
…01010001001000
3100020011200000122
413321021101020
5232344430210
621050122412
73165362060
oct771112110
9306150018
10132420680
1168825687
1238420408
1321585542
14138303a0
15b95ab55
hex7e49448

132420680 has 64 divisors (see below), whose sum is σ = 345358080. Its totient is φ = 44755200.

The previous prime is 132420679. The next prime is 132420689. The reversal of 132420680 is 86024231.

It is not an unprimeable number, because it can be changed into a prime (132420689) 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, 16550 + ... + 23210.

It is an arithmetic number, because the mean of its divisors is an integer number (5396220).

Almost surely, 2132420680 is an apocalyptic number.

132420680 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 132420680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172679040).

132420680 is an abundant number, since it is smaller than the sum of its proper divisors (212937400).

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

132420680 is a wasteful number, since it uses less digits than its factorization.

132420680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 132420680 is about 11507.4184767914. The cubic root of 132420680 is about 509.7046604778.

The spelling of 132420680 in words is "one hundred thirty-two million, four hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 6661 9940 13322 19880 26644 33305 46627 53288 66610 93254 133220 186508 233135 266440 373016 466270 472931 932540 945862 1865080 1891724 2364655 3310517 3783448 4729310 6621034 9458620 13242068 16552585 18917240 26484136 33105170 66210340 132420680