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2095421400 = 233452129347
BaseRepresentation
bin111110011100101…
…1001011111011000
312102000220102210000
41330321121133120
513242411441100
6543532053000
7102632534202
oct17471313730
95360812700
102095421400
119858a1126
124a5904160
13275176b27
1415c417772
15c3e60900
hex7ce597d8

2095421400 has 120 divisors (see below), whose sum is σ = 7277765220. Its totient is φ = 558774720.

The previous prime is 2095421369. The next prime is 2095421401. The reversal of 2095421400 is 41245902.

2095421400 is a `hidden beast` number, since 209 + 54 + 2 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095421401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 48474 + ... + 80873.

Almost surely, 22095421400 is an apocalyptic number.

2095421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2095421400 is an abundant number, since it is smaller than the sum of its proper divisors (5182343820).

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

2095421400 is a wasteful number, since it uses less digits than its factorization.

2095421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129375 (or 129357 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2095421400 is about 45775.7730682945. The cubic root of 2095421400 is about 1279.6478116339.

The spelling of 2095421400 in words is "two billion, ninety-five million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 129347 258694 388041 517388 646735 776082 1034776 1164123 1293470 1552164 1940205 2328246 2586940 3104328 3233675 3492369 3880410 4656492 5173880 5820615 6467350 6984738 7760820 9312984 9701025 10477107 11641230 12934700 13969476 15521640 17461845 19402050 20954214 23282460 25869400 27938952 29103075 34923690 38804100 41908428 46564920 52385535 58206150 69847380 77608200 83816856 87309225 104771070 116412300 139694760 174618450 209542140 232824600 261927675 349236900 419084280 523855350 698473800 1047710700 2095421400