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132477420 = 22355937423
BaseRepresentation
bin1111110010101…
…11000111101100
3100020021112212010
413321113013230
5232403234140
621051241220
73166016355
oct771270754
9306245763
10132477420
1168864279
1238449210
13215a530a
1413846d2c
15b96c880
hex7e571ec

132477420 has 48 divisors (see below), whose sum is σ = 377233920. Its totient is φ = 34727616.

The previous prime is 132477347. The next prime is 132477431. The reversal of 132477420 is 24774231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15172 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (7859040).

Almost surely, 2132477420 is an apocalyptic number.

132477420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132477420 is an abundant number, since it is smaller than the sum of its proper divisors (244756500).

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

132477420 is a wasteful number, since it uses less digits than its factorization.

132477420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37494 (or 37492 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 132477420 is about 11509.8835789073. The cubic root of 132477420 is about 509.7774499967. Note that the first 3 decimals are identical.

The spelling of 132477420 in words is "one hundred thirty-two million, four hundred seventy-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 37423 74846 112269 149692 187115 224538 374230 449076 561345 748460 1122690 2207957 2245380 4415914 6623871 8831828 11039785 13247742 22079570 26495484 33119355 44159140 66238710 132477420