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1107037044 = 223511310079
BaseRepresentation
bin100000111111100…
…0000101101110100
32212011002022100000
41001333000231310
54231400141134
6301503351300
736301442151
oct10177005564
92764068300
101107037044
11518991353
1226a8b2530
13148475a09
14a7051228
15672c5e99
hex41fc0b74

1107037044 has 72 divisors (see below), whose sum is σ = 2927957760. Its totient is φ = 365710464.

The previous prime is 1107037037. The next prime is 1107037051. The reversal of 1107037044 is 4407307011.

It is an interprime number because it is at equal distance from previous prime (1107037037) and next prime (1107037051).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1107036999 and 1107037017.

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, 104797 + ... + 114875.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 21107037044 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 1107037044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

1107037044 is an abundant number, since it is smaller than the sum of its proper divisors (1820920716).

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

1107037044 is a wasteful number, since it uses less digits than its factorization.

1107037044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1107037044 is about 33272.1662054036. The cubic root of 1107037044 is about 1034.4767108984.

The spelling of 1107037044 in words is "one billion, one hundred seven million, thirty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 972 1017 1356 2034 3051 4068 6102 9153 10079 12204 18306 20158 27459 30237 36612 40316 54918 60474 90711 109836 120948 181422 272133 362844 544266 816399 1088532 1138927 1632798 2277854 2449197 3265596 3416781 4555708 4898394 6833562 9796788 10250343 13667124 20500686 30751029 41001372 61502058 92253087 123004116 184506174 276759261 369012348 553518522 1107037044