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54364680 = 23325151013
BaseRepresentation
bin1100111101100…
…0101000001000
310210022000022200
43033120220020
5102404132210
65221120200
71230043416
oct317305010
9123260280
1054364680
1128761a97
1216259060
13b355c66
1473122b6
154b8d0c0
hex33d8a08

54364680 has 48 divisors (see below), whose sum is σ = 176686380. Its totient is φ = 14497152.

The previous prime is 54364649. The next prime is 54364693. The reversal of 54364680 is 8646345.

54364680 is a `hidden beast` number, since 5 + 4 + 3 + 646 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45400644 + 8964036 = 6738^2 + 2994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75147 + ... + 75866.

Almost surely, 254364680 is an apocalyptic number.

It is an amenable number.

54364680 is an abundant number, since it is smaller than the sum of its proper divisors (122321700).

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

54364680 is a wasteful number, since it uses less digits than its factorization.

54364680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151030 (or 151023 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54364680 is about 7373.2408071349. The cubic root of 54364680 is about 378.8252734095.

The spelling of 54364680 in words is "fifty-four million, three hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 151013 302026 453039 604052 755065 906078 1208104 1359117 1510130 1812156 2265195 2718234 3020260 3624312 4530390 5436468 6040520 6795585 9060780 10872936 13591170 18121560 27182340 54364680