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1117062072 = 2332710872039
BaseRepresentation
bin100001010010101…
…0000001110111000
32212211221122002100
41002211100032320
54241431441242
6302502303400
736452604510
oct10245201670
92784848070
101117062072
115236092a5
12272127b60
1314a575a99
14a8500840
156810654c
hex429503b8

1117062072 has 96 divisors (see below), whose sum is σ = 3462451200. Its totient is φ = 318710592.

The previous prime is 1117062047. The next prime is 1117062101. The reversal of 1117062072 is 2702607111.

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, 546829 + ... + 548867.

It is an arithmetic number, because the mean of its divisors is an integer number (36067200).

Almost surely, 21117062072 is an apocalyptic number.

1117062072 is a gapful number since it is divisible by the number (12) 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 1117062072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731225600).

1117062072 is an abundant number, since it is smaller than the sum of its proper divisors (2345389128).

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

1117062072 is a wasteful number, since it uses less digits than its factorization.

1117062072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1117062072 is about 33422.4785436389. The cubic root of 1117062072 is about 1037.5899791706.

Adding to 1117062072 its reverse (2702607111), we get a palindrome (3819669183).

The spelling of 1117062072 in words is "one billion, one hundred seventeen million, sixty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1087 2039 2174 3261 4078 4348 6117 6522 7609 8156 8696 9783 12234 13044 14273 15218 16312 18351 19566 22827 24468 26088 28546 30436 36702 39132 42819 45654 48936 57092 60872 68481 73404 78264 85638 91308 114184 128457 136962 146808 171276 182616 256914 273924 342552 513828 547848 1027656 2216393 4432786 6649179 8865572 13298358 15514751 17731144 19947537 26596716 31029502 39895074 46544253 53193432 62059004 79790148 93088506 124118008 139632759 159580296 186177012 279265518 372354024 558531036 1117062072