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55683720 = 23335471097
BaseRepresentation
bin1101010001101…
…0101010001000
310212210000201000
43110122222020
5103223334340
65305255000
71244206131
oct324325210
9125700630
1055683720
1129483004
1216794460
13b6c8461
147576c88
154d4dd30
hex351aa88

55683720 has 128 divisors (see below), whose sum is σ = 189734400. Its totient is φ = 14519808.

The previous prime is 55683709. The next prime is 55683731. The reversal of 55683720 is 2738655.

55683720 is a `hidden beast` number, since 556 + 83 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (55683709) and next prime (55683731).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50212 + ... + 51308.

It is an arithmetic number, because the mean of its divisors is an integer number (1482300).

Almost surely, 255683720 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 55683720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94867200).

55683720 is an abundant number, since it is smaller than the sum of its proper divisors (134050680).

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

55683720 is a wasteful number, since it uses less digits than its factorization.

55683720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55683720 is about 7462.1525044722. The cubic root of 55683720 is about 381.8646121644.

The spelling of 55683720 in words is "fifty-five million, six hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1097 1128 1269 1410 1692 1880 2115 2194 2538 2820 3291 3384 4230 4388 5076 5485 5640 6345 6582 8460 8776 9873 10152 10970 12690 13164 16455 16920 19746 21940 25380 26328 29619 32910 39492 43880 49365 50760 51559 59238 65820 78984 98730 103118 118476 131640 148095 154677 197460 206236 236952 257795 296190 309354 394920 412472 464031 515590 592380 618708 773385 928062 1031180 1184760 1237416 1392093 1546770 1856124 2062360 2320155 2784186 3093540 3712248 4640310 5568372 6187080 6960465 9280620 11136744 13920930 18561240 27841860 55683720