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54667980 = 22335671511
BaseRepresentation
bin1101000010001…
…0101011001100
310210212102101000
43100202223030
5102443333410
65231420300
71232445603
oct320425314
9123772330
1054667980
1128949954
1216384690
13b431023
147390a3a
154becdc0
hex3422acc

54667980 has 96 divisors (see below), whose sum is σ = 172730880. Its totient is φ = 14351040.

The previous prime is 54667979. The next prime is 54667993. The reversal of 54667980 is 8976645.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 35425 + ... + 36935.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 254667980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54667980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440).

54667980 is an abundant number, since it is smaller than the sum of its proper divisors (118062900).

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

54667980 is a wasteful number, since it uses less digits than its factorization.

54667980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 54667980 is about 7393.7798181985. The cubic root of 54667980 is about 379.5284548022.

The spelling of 54667980 in words is "fifty-four million, six hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1511 1809 2010 2412 3015 3022 3618 4020 4533 6030 6044 7236 7555 9045 9066 12060 13599 15110 18090 18132 22665 27198 30220 36180 40797 45330 54396 67995 81594 90660 101237 135990 163188 202474 203985 271980 303711 404948 407970 506185 607422 815940 911133 1012370 1214844 1518555 1822266 2024740 2733399 3037110 3644532 4555665 5466798 6074220 9111330 10933596 13666995 18222660 27333990 54667980