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55320120 = 23325314957
BaseRepresentation
bin1101001100000…
…1111000111000
310212002112221100
43103001320320
5103130220440
65253411400
71241133102
oct323017070
9125075840
1055320120
1129254909
1216639b60
13b5cbacb
1474c0572
154ccb230
hex34c1e38

55320120 has 96 divisors (see below), whose sum is σ = 185627520. Its totient is φ = 14273280.

The previous prime is 55320101. The next prime is 55320131. The reversal of 55320120 is 2102355.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 55320093 and 55320102.

It is a congruent number.

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, 8682 + ... + 13638.

It is an arithmetic number, because the mean of its divisors is an integer number (1933620).

Almost surely, 255320120 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 55320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92813760).

55320120 is an abundant number, since it is smaller than the sum of its proper divisors (130307400).

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

55320120 is a wasteful number, since it uses less digits than its factorization.

55320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55320120 is about 7437.7496596753. The cubic root of 55320120 is about 381.0316381027.

Adding to 55320120 its reverse (2102355), we get a palindrome (57422475).

The spelling of 55320120 in words is "fifty-five million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 4957 5580 9914 11160 14871 19828 24785 29742 39656 44613 49570 59484 74355 89226 99140 118968 148710 153667 178452 198280 223065 297420 307334 356904 446130 461001 594840 614668 768335 892260 922002 1229336 1383003 1536670 1784520 1844004 2305005 2766006 3073340 3688008 4610010 5532012 6146680 6915015 9220020 11064024 13830030 18440040 27660060 55320120