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54373680 = 243552797
BaseRepresentation
bin1100111101101…
…0110100110000
310210022110200000
43033122310300
5102404424210
65221230000
71230111564
oct317326460
9123273600
1054373680
1128768829
1216262300
13b35a09a
1473156a4
154b90ac0
hex33dad30

54373680 has 120 divisors (see below), whose sum is σ = 189435792. Its totient is φ = 14494464.

The previous prime is 54373663. The next prime is 54373723. The reversal of 54373680 is 8637345.

It is a happy number.

54373680 is a `hidden beast` number, since 543 + 7 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18042 + ... + 20838.

Almost surely, 254373680 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 54373680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94717896).

54373680 is an abundant number, since it is smaller than the sum of its proper divisors (135062112).

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

54373680 is a wasteful number, since it uses less digits than its factorization.

54373680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54373680 is about 7373.8510969506. The cubic root of 54373680 is about 378.8461769283.

The spelling of 54373680 in words is "fifty-four million, three hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2797 3240 3888 4860 5594 6480 8391 9720 11188 13985 16782 19440 22376 25173 27970 33564 41955 44752 50346 55940 67128 75519 83910 100692 111880 125865 134256 151038 167820 201384 223760 226557 251730 302076 335640 377595 402768 453114 503460 604152 671280 679671 755190 906228 1006920 1132785 1208304 1359342 1510380 1812456 2013840 2265570 2718684 3020760 3398355 3624912 4531140 5437368 6041520 6796710 9062280 10874736 13593420 18124560 27186840 54373680