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1025368704 = 27322338699
BaseRepresentation
bin111101000111011…
…110001010000000
32122110102010102200
4331013132022000
54044443244304
6245425113200
734260330063
oct7507361200
92573363380
101025368704
11486880758
12247488800
13134580159
149a2728da
1560042e39
hex3d1de280

1025368704 has 96 divisors (see below), whose sum is σ = 3078972000. Its totient is φ = 326920704.

The previous prime is 1025368693. The next prime is 1025368709. The reversal of 1025368704 is 4078635201.

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 not an unprimeable number, because it can be changed into a prime (1025368709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7147 + ... + 45845.

It is an arithmetic number, because the mean of its divisors is an integer number (32072625).

Almost surely, 21025368704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539486000).

1025368704 is an abundant number, since it is smaller than the sum of its proper divisors (2053603296).

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

1025368704 is a wasteful number, since it uses less digits than its factorization.

1025368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38742 (or 38727 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1025368704 is about 32021.3788585064. The cubic root of 1025368704 is about 1008.3857178410.

The spelling of 1025368704 in words is "one billion, twenty-five million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 38699 77398 116097 154796 232194 309592 348291 464388 619184 696582 890077 928776 1238368 1393164 1780154 1857552 2476736 2670231 2786328 3560308 3715104 4953472 5340462 5572656 7120616 7430208 8010693 10680924 11145312 14241232 14860416 16021386 21361848 22290624 28482464 32042772 42723696 44581248 56964928 64085544 85447392 113929856 128171088 170894784 256342176 341789568 512684352 1025368704