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2075252736 = 2113536373
BaseRepresentation
bin111101110110001…
…1101100000000000
312100121221202120110
41323230131200000
513222231041421
6541531511320
7102266233344
oct17354354000
95317852513
102075252736
11975476107
1249abb8540
13270c349cb
14159887624
15c22c9a76
hex7bb1d800

2075252736 has 96 divisors (see below), whose sum is σ = 5637930480. Its totient is φ = 678592512.

The previous prime is 2075252723. The next prime is 2075252749. The reversal of 2075252736 is 6372525702.

It is an interprime number because it is at equal distance from previous prime (2075252723) and next prime (2075252749).

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

It is a junction number, because it is equal to n+sod(n) for n = 2075252694 and 2075252703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322446 + ... + 328818.

Almost surely, 22075252736 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 2075252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818965240).

2075252736 is an abundant number, since it is smaller than the sum of its proper divisors (3562677744).

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

2075252736 is an equidigital number, since it uses as much as digits as its factorization.

2075252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 2075252736 is about 45554.9419492551. The cubic root of 2075252736 is about 1275.5289843442.

The spelling of 2075252736 in words is "two billion, seventy-five million, two hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 5088 6144 6373 6784 10176 12746 13568 19119 20352 25492 27136 38238 40704 50984 54272 76476 81408 101968 108544 152952 162816 203936 305904 325632 337769 407872 611808 675538 815744 1013307 1223616 1351076 1631488 2026614 2447232 2702152 3262976 4053228 4894464 5404304 6525952 8106456 9788928 10808608 13051904 16212912 19577856 21617216 32425824 39155712 43234432 64851648 86468864 129703296 172937728 259406592 345875456 518813184 691750912 1037626368 2075252736