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54740700 = 22325278689
BaseRepresentation
bin1101000011010…
…0011011011100
310211000010010100
43100310123130
5103003200300
65233141100
71233200610
oct320643334
9124003110
1054740700
1128999553
12163ba790
13b458161
1473ad340
154c14700
hex34346dc

54740700 has 108 divisors (see below), whose sum is σ = 196115920. Its totient is φ = 12510720.

The previous prime is 54740681. The next prime is 54740701. The reversal of 54740700 is 704745.

54740700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54740701) 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 35 ways as a sum of consecutive naturals, for example, 1956 + ... + 10644.

Almost surely, 254740700 is an apocalyptic number.

54740700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54740700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98057960).

54740700 is an abundant number, since it is smaller than the sum of its proper divisors (141375220).

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

54740700 is a wasteful number, since it uses less digits than its factorization.

54740700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 54740700 is about 7398.6958310232. The cubic root of 54740700 is about 379.6966646673.

The spelling of 54740700 in words is "fifty-four million, seven hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 8689 17378 26067 34756 43445 52134 60823 78201 86890 104268 121646 130335 156402 173780 182469 217225 243292 260670 304115 312804 364938 391005 434450 521340 547407 608230 651675 729876 782010 868900 912345 1094814 1216460 1303350 1520575 1564020 1824690 1955025 2189628 2606700 2737035 3041150 3649380 3910050 4561725 5474070 6082300 7820100 9123450 10948140 13685175 18246900 27370350 54740700