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55115100 = 223352137149
BaseRepresentation
bin1101001000111…
…1110101011100
310211201010201000
43102033311130
5103102140400
65245150300
71236320265
oct322176534
9124633630
1055115100
1129124877
121655b390
13b5596b1
14746996c
154c8a600
hex348fd5c

55115100 has 144 divisors (see below), whose sum is σ = 179676000. Its totient is φ = 14492160.

The previous prime is 55115083. The next prime is 55115129. The reversal of 55115100 is 151155.

55115100 is a `hidden beast` number, since 551 + 15 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369826 + ... + 369974.

It is an arithmetic number, because the mean of its divisors is an integer number (1247750).

Almost surely, 255115100 is an apocalyptic number.

55115100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89838000).

55115100 is an abundant number, since it is smaller than the sum of its proper divisors (124560900).

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

55115100 is a wasteful number, since it uses less digits than its factorization.

55115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 55115100 is about 7423.9544718432. The cubic root of 55115100 is about 380.5603459792.

Adding to 55115100 its reverse (151155), we get a palindrome (55266255).

It can be divided in two parts, 551 and 15100, that added together give a palindrome (15651).

The spelling of 55115100 in words is "fifty-five million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 137 149 150 180 225 270 274 298 300 411 447 450 540 548 596 675 685 745 822 894 900 1233 1341 1350 1370 1490 1644 1788 2055 2235 2466 2682 2700 2740 2980 3425 3699 3725 4023 4110 4470 4932 5364 6165 6705 6850 7398 7450 8046 8220 8940 10275 11175 12330 13410 13700 14796 14900 16092 18495 20115 20413 20550 22350 24660 26820 30825 33525 36990 40230 40826 41100 44700 61239 61650 67050 73980 80460 81652 92475 100575 102065 122478 123300 134100 183717 184950 201150 204130 244956 306195 367434 369900 402300 408260 510325 551151 612390 734868 918585 1020650 1102302 1224780 1530975 1837170 2041300 2204604 2755755 3061950 3674340 4592925 5511510 6123900 9185850 11023020 13778775 18371700 27557550 55115100