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54930780 = 223254347151
BaseRepresentation
bin1101000110001…
…0110101011100
310211100202212100
43101202311130
5103030241110
65241205100
71234622022
oct321426534
9124322770
1054930780
1129009343
1216490790
13b4c3828
14741c712
154c50bc0
hex3462d5c

54930780 has 144 divisors (see below), whose sum is σ = 175279104. Its totient is φ = 13910400.

The previous prime is 54930779. The next prime is 54930781. The reversal of 54930780 is 8703945.

54930780 is a `hidden beast` number, since 549 + 30 + 7 + 80 = 666.

54930780 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 (54930779) and next prime (54930781).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54930781) 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 47 ways as a sum of consecutive naturals, for example, 363705 + ... + 363855.

It is an arithmetic number, because the mean of its divisors is an integer number (1217216).

Almost surely, 254930780 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 54930780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87639552).

54930780 is an abundant number, since it is smaller than the sum of its proper divisors (120348324).

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

54930780 is a wasteful number, since it uses less digits than its factorization.

54930780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54930780 is about 7411.5302063744. The cubic root of 54930780 is about 380.1356394822.

It can be divided in two parts, 549 and 30780, that added together give a square (31329 = 1772).

The spelling of 54930780 in words is "fifty-four million, nine hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 47 60 86 90 94 129 141 151 172 180 188 215 235 258 282 302 387 423 430 453 470 516 564 604 645 705 755 774 846 860 906 940 1290 1359 1410 1510 1548 1692 1812 1935 2021 2115 2265 2580 2718 2820 3020 3870 4042 4230 4530 5436 6063 6493 6795 7097 7740 8084 8460 9060 10105 12126 12986 13590 14194 18189 19479 20210 21291 24252 25972 27180 28388 30315 32465 35485 36378 38958 40420 42582 58437 60630 63873 64930 70970 72756 77916 85164 90945 97395 106455 116874 121260 127746 129860 141940 181890 194790 212910 233748 255492 292185 305171 319365 363780 389580 425820 584370 610342 638730 915513 1168740 1220684 1277460 1525855 1831026 2746539 3051710 3662052 4577565 5493078 6103420 9155130 10986156 13732695 18310260 27465390 54930780