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1027041696 = 25327150227
BaseRepresentation
bin111101001101110…
…110100110100000
32122120120010100100
4331031312212200
54100410313241
6245525022400
734310465442
oct7515664640
92576503310
101027041696
1148781369a
12247b54a00
13134a177a5
149a58a492
15602739b6
hex3d3769a0

1027041696 has 72 divisors (see below), whose sum is σ = 2961844704. Its totient is φ = 337518720.

The previous prime is 1027041683. The next prime is 1027041707. The reversal of 1027041696 is 6961407201.

It is a tau number, because it is divible by the number of its divisors (72).

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 1027041696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4666 + ... + 45561.

It is an arithmetic number, because the mean of its divisors is an integer number (41136732).

Almost surely, 21027041696 is an apocalyptic number.

1027041696 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 1027041696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480922352).

1027041696 is an abundant number, since it is smaller than the sum of its proper divisors (1934803008).

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

1027041696 is a wasteful number, since it uses less digits than its factorization.

1027041696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50314 (or 50303 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1027041696 is about 32047.4912590674. The cubic root of 1027041696 is about 1008.9338473571.

Adding to 1027041696 its reverse (6961407201), we get a palindrome (7988448897).

The spelling of 1027041696 in words is "one billion, twenty-seven million, forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 50227 100454 150681 200908 301362 401816 452043 602724 803632 904086 1205448 1607264 1808172 2410896 3566117 3616344 4821792 7132234 7232688 10698351 14264468 14465376 21396702 28528936 32095053 42793404 57057872 64190106 85586808 114115744 128380212 171173616 256760424 342347232 513520848 1027041696