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1204125696 = 215331361
BaseRepresentation
bin100011111000101…
…1000000000000000
310002220202220221000
41013301120000000
54431224010241
6315252332000
741560620354
oct10761300000
93086686830
101204125696
11568774504
12297314000
1316260a317
14b5cc5464
1570aa2eb6
hex47c58000

1204125696 has 128 divisors (see below), whose sum is σ = 3570346800. Its totient is φ = 401080320.

The previous prime is 1204125673. The next prime is 1204125697. The reversal of 1204125696 is 6965214021.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1204125696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204125697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884056 + ... + 885416.

Almost surely, 21204125696 is an apocalyptic number.

1204125696 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 1204125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785173400).

1204125696 is an abundant number, since it is smaller than the sum of its proper divisors (2366221104).

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

1204125696 is an frugal number, since it uses more digits than its factorization.

1204125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1204125696 is about 34700.5143477730. The cubic root of 1204125696 is about 1063.8750112287.

The spelling of 1204125696 in words is "one billion, two hundred four million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1361 1536 1728 2048 2304 2722 3072 3456 4083 4096 4608 5444 6144 6912 8166 8192 9216 10888 12249 12288 13824 16332 16384 18432 21776 24498 24576 27648 32664 32768 36747 36864 43552 48996 49152 55296 65328 73494 73728 87104 97992 98304 110592 130656 146988 147456 174208 195984 221184 261312 293976 294912 348416 391968 442368 522624 587952 696832 783936 884736 1045248 1175904 1393664 1567872 2090496 2351808 2787328 3135744 4180992 4703616 5574656 6271488 8361984 9407232 11149312 12542976 16723968 18814464 22298624 25085952 33447936 37628928 44597248 50171904 66895872 75257856 100343808 133791744 150515712 200687616 301031424 401375232 602062848 1204125696