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2069342720 = 295839739
BaseRepresentation
bin111101101010111…
…1010101000000000
312100012211111112222
41323111322220000
513214222431340
6541201110212
7102165060104
oct17325725000
95305744488
102069342720
119720a98a5
12499028368
1326c945963
14158b89904
15c1a0d8b5
hex7b57aa00

2069342720 has 80 divisors (see below), whose sum is σ = 5021866080. Its totient is φ = 817680384.

The previous prime is 2069342701. The next prime is 2069342741. The reversal of 2069342720 is 272439602.

It is a happy number.

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

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, 207611 + ... + 217349.

It is an arithmetic number, because the mean of its divisors is an integer number (62773326).

Almost surely, 22069342720 is an apocalyptic number.

2069342720 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 2069342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510933040).

2069342720 is an abundant number, since it is smaller than the sum of its proper divisors (2952523360).

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

2069342720 is an frugal number, since it uses more digits than its factorization.

2069342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9845 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 2069342720 is about 45490.0287975288. The cubic root of 2069342720 is about 1274.3169931488.

The spelling of 2069342720 in words is "two billion, sixty-nine million, three hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1280 1328 1660 2560 2656 3320 5312 6640 9739 10624 13280 19478 21248 26560 38956 42496 48695 53120 77912 97390 106240 155824 194780 212480 311648 389560 623296 779120 808337 1246592 1558240 1616674 2493184 3116480 3233348 4041685 4986368 6232960 6466696 8083370 12465920 12933392 16166740 24931840 25866784 32333480 51733568 64666960 103467136 129333920 206934272 258667840 413868544 517335680 1034671360 2069342720