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1106742912 = 27311479547
BaseRepresentation
bin100000111110111…
…1000111010000000
32212010112100212020
41001331320322000
54231311233122
6301453201440
736266105502
oct10175707200
92763470766
101106742912
11518800370
1226a790280
131483a1b82
14a6db5d72
1567268c5c
hex41f78e80

1106742912 has 128 divisors (see below), whose sum is σ = 3219609600. Its totient is φ = 334064640.

The previous prime is 1106742877. The next prime is 1106742929. The reversal of 1106742912 is 2192476011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2023023 + ... + 2023569.

It is an arithmetic number, because the mean of its divisors is an integer number (25153200).

Almost surely, 21106742912 is an apocalyptic number.

1106742912 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 1106742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609804800).

1106742912 is an abundant number, since it is smaller than the sum of its proper divisors (2112866688).

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

1106742912 is a wasteful number, since it uses less digits than its factorization.

1106742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1106742912 is about 33267.7458208397. The cubic root of 1106742912 is about 1034.3850850408.

The spelling of 1106742912 in words is "one billion, one hundred six million, seven hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 479 528 547 704 958 1056 1094 1408 1437 1641 1916 2112 2188 2874 3282 3832 4224 4376 5269 5748 6017 6564 7664 8752 10538 11496 12034 13128 15328 15807 17504 18051 21076 22992 24068 26256 30656 31614 35008 36102 42152 45984 48136 52512 61312 63228 70016 72204 84304 91968 96272 105024 126456 144408 168608 183936 192544 210048 252912 262013 288816 337216 385088 505824 524026 577632 674432 770176 786039 1011648 1048052 1155264 1572078 2023296 2096104 2310528 2882143 3144156 4192208 5764286 6288312 8384416 8646429 11528572 12576624 16768832 17292858 23057144 25153248 33537664 34585716 46114288 50306496 69171432 92228576 100612992 138342864 184457152 276685728 368914304 553371456 1106742912