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55340880 = 2435732941
BaseRepresentation
bin1101001100011…
…0111101010000
310212010121102020
43103012331100
5103131402010
65254051440
71241250450
oct323067520
9125117366
1055340880
1129269471
1216649b80
13b6083aa
1474c7d60
154cd2470
hex34c6f50

55340880 has 80 divisors (see below), whose sum is σ = 196070784. Its totient is φ = 12648960.

The previous prime is 55340849. The next prime is 55340881. The reversal of 55340880 is 8804355.

It is a happy number.

55340880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×553408802 = 6125225998348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55340881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14791 + ... + 18150.

Almost surely, 255340880 is an apocalyptic number.

It is an amenable number.

55340880 is an abundant number, since it is smaller than the sum of its proper divisors (140729904).

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

55340880 is a wasteful number, since it uses less digits than its factorization.

55340880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32964 (or 32958 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 55340880 is about 7439.1451121752. The cubic root of 55340880 is about 381.0792954319.

The spelling of 55340880 in words is "fifty-five million, three hundred forty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 32941 65882 98823 131764 164705 197646 230587 263528 329410 395292 461174 494115 527056 658820 691761 790584 922348 988230 1152935 1317640 1383522 1581168 1844696 1976460 2305870 2635280 2767044 3458805 3689392 3952920 4611740 5534088 6917610 7905840 9223480 11068176 13835220 18446960 27670440 55340880