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1074072096 = 25337117509
BaseRepresentation
bin100000000000101…
…0000101000100000
32202212001111221000
41000001100220200
54144430301341
6254325032000
735421314346
oct10001205040
92685044830
101074072096
11501316299
1225b855600
131416a3326
14a290d996
15644638b6
hex40050a20

1074072096 has 96 divisors (see below), whose sum is σ = 3177014400. Its totient is φ = 352961280.

The previous prime is 1074072089. The next prime is 1074072107. The reversal of 1074072096 is 6902704701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1074072096.

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, 52590 + ... + 70098.

It is an arithmetic number, because the mean of its divisors is an integer number (33093900).

Almost surely, 21074072096 is an apocalyptic number.

1074072096 is a gapful number since it is divisible by the number (16) 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 1074072096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588507200).

1074072096 is an abundant number, since it is smaller than the sum of its proper divisors (2102942304).

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

1074072096 is a wasteful number, since it uses less digits than its factorization.

1074072096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17599 (or 17585 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1074072096 is about 32773.0391633123. The cubic root of 1074072096 is about 1024.1049798784.

Adding to 1074072096 its reverse (6902704701), we get a palindrome (7976776797).

The spelling of 1074072096 in words is "one billion, seventy-four million, seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3834 5112 6816 7668 10224 15336 17509 20448 30672 35018 52527 61344 70036 105054 140072 157581 210108 280144 315162 420216 472743 560288 630324 840432 945486 1243139 1260648 1680864 1890972 2486278 2521296 3729417 3781944 4972556 5042592 7458834 7563888 9945112 11188251 14917668 15127776 19890224 22376502 29835336 33564753 39780448 44753004 59670672 67129506 89506008 119341344 134259012 179012016 268518024 358024032 537036048 1074072096