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54561780 = 223257133331
BaseRepresentation
bin1101000000100…
…0101111110100
310210200000200200
43100020233310
5102431434110
65225240500
71231524150
oct320105764
9123600620
1054561780
1128887089
1216333130
13b3c48a0
147364060
154bcb6c0
hex3408bf4

54561780 has 144 divisors (see below), whose sum is σ = 203758464. Its totient is φ = 11508480.

The previous prime is 54561779. The next prime is 54561781. The reversal of 54561780 is 8716545.

It is an interprime number because it is at equal distance from previous prime (54561779) and next prime (54561781).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (54561781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14715 + ... + 18045.

Almost surely, 254561780 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 54561780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101879232).

54561780 is an abundant number, since it is smaller than the sum of its proper divisors (149196684).

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

54561780 is a wasteful number, since it uses less digits than its factorization.

54561780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54561780 is about 7386.5946145704. The cubic root of 54561780 is about 379.2825335760.

The spelling of 54561780 in words is "fifty-four million, five hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 3331 4095 5460 6662 8190 9993 13324 16380 16655 19986 23317 29979 33310 39972 43303 46634 49965 59958 66620 69951 86606 93268 99930 116585 119916 129909 139902 149895 173212 199860 209853 216515 233170 259818 279804 299790 303121 349755 389727 419706 433030 466340 519636 599580 606242 649545 699510 779454 839412 866060 909363 1049265 1212484 1299090 1399020 1515605 1558908 1818726 1948635 2098530 2598180 2728089 3031210 3637452 3897270 4197060 4546815 5456178 6062420 7794540 9093630 10912356 13640445 18187260 27280890 54561780