Search a number
-
+
11003743740 = 223511137312143
BaseRepresentation
bin10100011111101111…
…11100110111111100
31001101212111002200110
422033313330313330
5140013424244430
65015520230020
7536453164353
oct121767746774
931355432613
1011003743740
1147373655a0
12217116b310
131064938692
147655a699a
1544607d7b0
hex28fdfcdfc

11003743740 has 96 divisors (see below), whose sum is σ = 33638685696. Its totient is φ = 2665411840.

The previous prime is 11003743717. The next prime is 11003743757. The reversal of 11003743740 is 4734730011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11003743698 and 11003743707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900109 + ... + 912251.

It is an arithmetic number, because the mean of its divisors is an integer number (350402976).

Almost surely, 211003743740 is an apocalyptic number.

11003743740 is a gapful number since it is divisible by the number (10) 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 11003743740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819342848).

11003743740 is an abundant number, since it is smaller than the sum of its proper divisors (22634941956).

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

11003743740 is a wasteful number, since it uses less digits than its factorization.

11003743740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13539 (or 13537 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 11003743740 in words is "eleven billion, three million, seven hundred forty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1373 2746 4119 5492 6865 8238 12143 13730 15103 16476 20595 24286 27460 30206 36429 41190 45309 48572 60412 60715 72858 75515 82380 90618 121430 133573 145716 151030 181236 182145 226545 242860 267146 302060 364290 400719 453090 534292 667865 728580 801438 906180 1335730 1602876 2003595 2671460 4007190 8014380 16672339 33344678 50017017 66689356 83361695 100034034 166723390 183395729 200068068 250085085 333446780 366791458 500170170 550187187 733582916 916978645 1000340340 1100374374 1833957290 2200748748 2750935935 3667914580 5501871870 11003743740