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242132820 = 22354035547
BaseRepresentation
bin11100110111010…
…10011101010100
3121212121121210020
432123222131110
5443441222240
640005425140
76000044406
oct1633523524
9555547706
10242132820
1111474aa76
126910b1b0
133b219877
142422cb76
15163cd0d0
hexe6ea754

242132820 has 24 divisors (see below), whose sum is σ = 677972064. Its totient is φ = 64568736.

The previous prime is 242132797. The next prime is 242132833. The reversal of 242132820 is 28231242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017714 + ... + 2017833.

It is an arithmetic number, because the mean of its divisors is an integer number (28248836).

Almost surely, 2242132820 is an apocalyptic number.

242132820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242132820 is an abundant number, since it is smaller than the sum of its proper divisors (435839244).

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

242132820 is a wasteful number, since it uses less digits than its factorization.

242132820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035559 (or 4035557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 242132820 is about 15560.6175969979. The cubic root of 242132820 is about 623.2819547066.

The spelling of 242132820 in words is "two hundred forty-two million, one hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4035547 8071094 12106641 16142188 20177735 24213282 40355470 48426564 60533205 80710940 121066410 242132820