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54336420 = 22345171973
BaseRepresentation
bin1100111101000…
…1101110100100
310210020120120000
43033101232210
5102402231140
65220341300
71226565135
oct317215644
9123216500
1054336420
1128742836
1216244830
13b346138
147305c8c
154b84a30
hex33d1ba4

54336420 has 120 divisors (see below), whose sum is σ = 180573624. Its totient is φ = 13630464.

The previous prime is 54336413. The next prime is 54336427. The reversal of 54336420 is 2463345.

It is an interprime number because it is at equal distance from previous prime (54336413) and next prime (54336427).

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 49028004 = 2304^2 + 7002^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54336427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26554 + ... + 28526.

Almost surely, 254336420 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 54336420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286812).

54336420 is an abundant number, since it is smaller than the sum of its proper divisors (126237204).

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

54336420 is a wasteful number, since it uses less digits than its factorization.

54336420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 54336420 is about 7371.3241686959. The cubic root of 54336420 is about 378.7596213613.

Adding to 54336420 its reverse (2463345), we get a palindrome (56799765).

It can be divided in two parts, 54336 and 420, that added together give a square (54756 = 2342).

The spelling of 54336420 in words is "fifty-four million, three hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 1973 2295 2754 3060 3946 4590 5508 5919 6885 7892 9180 9865 11838 13770 17757 19730 23676 27540 29595 33541 35514 39460 53271 59190 67082 71028 88785 100623 106542 118380 134164 159813 167705 177570 201246 213084 266355 301869 319626 335410 355140 402492 503115 532710 603738 639252 670820 799065 905607 1006230 1065420 1207476 1509345 1598130 1811214 2012460 2716821 3018690 3196260 3622428 4528035 5433642 6037380 9056070 10867284 13584105 18112140 27168210 54336420