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55120120 = 23511177369
BaseRepresentation
bin1101001001000…
…1000011111000
310211201101120221
43102101003320
5103102320440
65245225424
71236341026
oct322210370
9124641527
1055120120
1129128620
1216562274
13b55ba73
14746b716
154c8bd4a
hex34910f8

55120120 has 64 divisors (see below), whose sum is σ = 143272800. Its totient is φ = 18862080.

The previous prime is 55120099. The next prime is 55120123. The reversal of 55120120 is 2102155.

It is a junction number, because it is equal to n+sod(n) for n = 55120094 and 55120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55120123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3796 + ... + 11164.

Almost surely, 255120120 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 55120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71636400).

55120120 is an abundant number, since it is smaller than the sum of its proper divisors (88152680).

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

55120120 is a wasteful number, since it uses less digits than its factorization.

55120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 55120120 is about 7424.2925588907. The cubic root of 55120120 is about 380.5718997091.

Adding to 55120120 its reverse (2102155), we get a palindrome (57222275).

The spelling of 55120120 in words is "fifty-five million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7369 7480 14738 29476 36845 58952 73690 81059 125273 147380 162118 250546 294760 324236 405295 501092 626365 648472 810590 1002184 1252730 1378003 1621180 2505460 2756006 3242360 5010920 5512012 6890015 11024024 13780030 27560060 55120120