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55111104 = 263410631
BaseRepresentation
bin1101001000111…
…0110111000000
310211200221020000
43102032313000
5103102023404
65245120000
71236302526
oct322166700
9124627200
1055111104
1129121874
1216559000
13b557929
147468316
154c89339
hex348edc0

55111104 has 70 divisors (see below), whose sum is σ = 163381944. Its totient is φ = 18368640.

The previous prime is 55111073. The next prime is 55111139. The reversal of 55111104 is 40111155.

It is a happy number.

55111104 is a `hidden beast` number, since 551 + 1 + 110 + 4 = 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 9 ways as a sum of consecutive naturals, for example, 132 + ... + 10499.

Almost surely, 255111104 is an apocalyptic number.

55111104 is a gapful number since it is divisible by the number (54) 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 55111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81690972).

55111104 is an abundant number, since it is smaller than the sum of its proper divisors (108270840).

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

55111104 is a wasteful number, since it uses less digits than its factorization.

55111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 55111104 is about 7423.6853381592. The cubic root of 55111104 is about 380.5511485245.

Adding to 55111104 its reverse (40111155), we get a palindrome (95222259).

The spelling of 55111104 in words is "fifty-five million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10631 21262 31893 42524 63786 85048 95679 127572 170096 191358 255144 287037 340192 382716 510288 574074 680384 765432 861111 1020576 1148148 1530864 1722222 2041152 2296296 3061728 3444444 4592592 6123456 6888888 9185184 13777776 18370368 27555552 55111104