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2063414400 = 27352214939
BaseRepresentation
bin111101011111101…
…0011010010000000
312022210200022102120
41322333103102000
513211213230100
6540430044240
7102063506265
oct17277232200
95283608376
102063414400
1196981a863
12497049680
1326b64b488
1415808526c
15c123c0a0
hex7afd3480

2063414400 has 96 divisors (see below), whose sum is σ = 6796402800. Its totient is φ = 550241280.

The previous prime is 2063414393. The next prime is 2063414413. The reversal of 2063414400 is 44143602.

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

It is a super-2 number, since 2×20634144002 = 8515357972254720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97870 + ... + 117069.

Almost surely, 22063414400 is an apocalyptic number.

2063414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2063414400 is an abundant number, since it is smaller than the sum of its proper divisors (4732988400).

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

2063414400 is a wasteful number, since it uses less digits than its factorization.

2063414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214966 (or 214949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2063414400 is about 45424.8214085647. The cubic root of 2063414400 is about 1273.0989277007.

The spelling of 2063414400 in words is "two billion, sixty-three million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 214939 429878 644817 859756 1074695 1289634 1719512 2149390 2579268 3224085 3439024 4298780 5158536 5373475 6448170 6878048 8597560 10317072 10746950 12896340 13756096 16120425 17195120 20634144 21493900 25792680 27512192 32240850 34390240 41268288 42987800 51585360 64481700 68780480 82536576 85975600 103170720 128963400 137560960 171951200 206341440 257926800 343902400 412682880 515853600 687804800 1031707200 2063414400