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2059896400 = 2452191312069
BaseRepresentation
bin111101011000111…
…1000011001010000
312022120001120122021
41322301320121100
513204313141100
6540222421224
7102021554602
oct17261703120
95276046567
102059896400
11967837721
12495a31814
1326a9b9113
1415780b172
15c0c94a1a
hex7ac78650

2059896400 has 120 divisors (see below), whose sum is σ = 5251672800. Its totient is φ = 774259200.

The previous prime is 2059896337. The next prime is 2059896427. The reversal of 2059896400 is 46989502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994566 + ... + 996634.

It is an arithmetic number, because the mean of its divisors is an integer number (43763940).

Almost surely, 22059896400 is an apocalyptic number.

2059896400 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 2059896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625836400).

2059896400 is an abundant number, since it is smaller than the sum of its proper divisors (3191776400).

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

2059896400 is a wasteful number, since it uses less digits than its factorization.

2059896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 2059896400 is about 45386.0815669297. The cubic root of 2059896400 is about 1272.3749965661.

The spelling of 2059896400 in words is "two billion, fifty-nine million, eight hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 131 152 190 200 262 304 380 400 475 524 655 760 950 1048 1310 1520 1900 2069 2096 2489 2620 3275 3800 4138 4978 5240 6550 7600 8276 9956 10345 10480 12445 13100 16552 19912 20690 24890 26200 33104 39311 39824 41380 49780 51725 52400 62225 78622 82760 99560 103450 124450 157244 165520 196555 199120 206900 248900 271039 314488 393110 413800 497800 542078 628976 786220 827600 982775 995600 1084156 1355195 1572440 1965550 2168312 2710390 3144880 3931100 4336624 5149741 5420780 6775975 7862200 10299482 10841560 13551950 15724400 20598964 21683120 25748705 27103900 41197928 51497410 54207800 82395856 102994820 108415600 128743525 205989640 257487050 411979280 514974100 1029948200 2059896400