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2073029120 = 2952633079
BaseRepresentation
bin111101110001111…
…1110101000000000
312100110202210100022
41323203332220000
513221143412440
6541412113012
7102241312451
oct17343765000
95313683308
102073029120
11974197508
1249a305768
13270636866
14159469128
15c1edacb5
hex7b8fea00

2073029120 has 80 divisors (see below), whose sum is σ = 4990930560. Its totient is φ = 825790464.

The previous prime is 2073029093. The next prime is 2073029129. The reversal of 2073029120 is 219203702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2073029120.

It is not an unprimeable number, because it can be changed into a prime (2073029129) 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, 671741 + ... + 674819.

It is an arithmetic number, because the mean of its divisors is an integer number (62386632).

Almost surely, 22073029120 is an apocalyptic number.

2073029120 is a gapful number since it is divisible by the number (20) 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 2073029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495465280).

2073029120 is an abundant number, since it is smaller than the sum of its proper divisors (2917901440).

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

2073029120 is an equidigital number, since it uses as much as digits as its factorization.

2073029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2073029120 is about 45530.5295378826. The cubic root of 2073029120 is about 1275.0732486433.

The spelling of 2073029120 in words is "two billion, seventy-three million, twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 263 320 512 526 640 1052 1280 1315 2104 2560 2630 3079 4208 5260 6158 8416 10520 12316 15395 16832 21040 24632 30790 33664 42080 49264 61580 67328 84160 98528 123160 134656 168320 197056 246320 336640 394112 492640 673280 788224 809777 985280 1576448 1619554 1970560 3239108 3941120 4048885 6478216 7882240 8097770 12956432 16195540 25912864 32391080 51825728 64782160 103651456 129564320 207302912 259128640 414605824 518257280 1036514560 2073029120