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54040770 = 23757353
BaseRepresentation
bin1100111000100…
…1100011000010
310202200120000000
43032021203002
5102313301040
65210140430
71224224160
oct316114302
9122616000
1054040770
11285606a3
1216121716
13b2716b4
14726a230
154b27130
hex33898c2

54040770 has 128 divisors (see below), whose sum is σ = 167201280. Its totient is φ = 12317184.

The previous prime is 54040751. The next prime is 54040771. The reversal of 54040770 is 7704045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54040771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 152914 + ... + 153266.

It is an arithmetic number, because the mean of its divisors is an integer number (1306260).

Almost surely, 254040770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54040770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83600640).

54040770 is an abundant number, since it is smaller than the sum of its proper divisors (113160510).

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

54040770 is an equidigital number, since it uses as much as digits as its factorization.

54040770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

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

The square root of 54040770 is about 7351.2427520794. The cubic root of 54040770 is about 378.0714150782.

The spelling of 54040770 in words is "fifty-four million, forty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 353 378 405 486 567 630 706 729 810 945 1059 1134 1215 1458 1701 1765 1890 2118 2187 2430 2471 2835 3177 3402 3530 3645 4374 4942 5103 5295 5670 6354 7290 7413 8505 9531 10206 10590 10935 12355 14826 15309 15885 17010 19062 21870 22239 24710 25515 28593 30618 31770 37065 44478 47655 51030 57186 66717 74130 76545 85779 95310 111195 133434 142965 153090 171558 200151 222390 257337 285930 333585 400302 428895 514674 600453 667170 772011 857790 1000755 1200906 1286685 1544022 1801359 2001510 2573370 3002265 3602718 3860055 5404077 6004530 7720110 9006795 10808154 18013590 27020385 54040770