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54013770 = 23351910529
BaseRepresentation
bin1100111000001…
…0111101001010
310202122011222000
43032002331022
5102311420040
65205411430
71224052356
oct316027512
9122564860
1054013770
1128542388
1216109b76
13b262315
147260466
154b1e130
hex3382f4a

54013770 has 64 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 13644288.

The previous prime is 54013759. The next prime is 54013781. The reversal of 54013770 is 7731045.

54013770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54013759) and next prime (54013781).

It is a super-2 number, since 2×540137702 = 5834974699225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 254013770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54013770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

54013770 is an abundant number, since it is smaller than the sum of its proper divisors (97618230).

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

54013770 is a wasteful number, since it uses less digits than its factorization.

54013770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 54013770 is about 7349.4060984545. The cubic root of 54013770 is about 378.0084402247.

The spelling of 54013770 in words is "fifty-four million, thirteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 10529 21058 31587 52645 63174 94761 105290 157935 189522 200051 284283 315870 400102 473805 568566 600153 947610 1000255 1200306 1421415 1800459 2000510 2842830 3000765 3600918 5401377 6001530 9002295 10802754 18004590 27006885 54013770