[go: up one dir, main page]

Search a number
-
+
55131120 = 24325116961
BaseRepresentation
bin1101001001001…
…1101111110000
310211201221200100
43102103233300
5103103143440
65245352400
71236415062
oct322235760
9124657610
1055131120
1129135910
1216568700
13b563a85
147471732
154c90230
hex3493bf0

55131120 has 120 divisors (see below), whose sum is σ = 202009392. Its totient is φ = 13363200.

The previous prime is 55131091. The next prime is 55131127. The reversal of 55131120 is 2113155.

55131120 is a `hidden beast` number, since 551 + 3 + 112 + 0 = 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 55131093 and 55131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55131127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440 + ... + 11400.

Almost surely, 255131120 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 55131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101004696).

55131120 is an abundant number, since it is smaller than the sum of its proper divisors (146878272).

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

55131120 is a wasteful number, since it uses less digits than its factorization.

55131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 55131120 is about 7425.0333332585. The cubic root of 55131120 is about 380.5972141947.

Adding to 55131120 its reverse (2113155), we get a palindrome (57244275).

The spelling of 55131120 in words is "fifty-five million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 6961 7920 13922 20883 27844 34805 41766 55688 62649 69610 76571 83532 104415 111376 125298 139220 153142 167064 208830 229713 250596 278440 306284 313245 334128 382855 417660 459426 501192 556880 612568 626490 689139 765710 835320 918852 1002384 1148565 1225136 1252980 1378278 1531420 1670640 1837704 2297130 2505960 2756556 3062840 3445695 3675408 4594260 5011920 5513112 6125680 6891390 9188520 11026224 13782780 18377040 27565560 55131120