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2106398400 = 26352438833
BaseRepresentation
bin111110110001101…
…0001011011000000
312102210120010101120
41331203101123000
513303214222100
6545003232240
7103125043131
oct17543213300
95383503346
102106398400
11991009327
124a9518680
1327751b2b2
1415da73c88
15c4dcd0a0
hex7d8d16c0

2106398400 has 84 divisors (see below), whose sum is σ = 6910757832. Its totient is φ = 561704960.

The previous prime is 2106398377. The next prime is 2106398407. The reversal of 2106398400 is 48936012.

It is not an unprimeable number, because it can be changed into a prime (2106398407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214617 + ... + 224216.

Almost surely, 22106398400 is an apocalyptic number.

2106398400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106398400 is an abundant number, since it is smaller than the sum of its proper divisors (4804359432).

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

2106398400 is a wasteful number, since it uses less digits than its factorization.

2106398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438858 (or 438843 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2106398400 is about 45895.5161208587. The cubic root of 2106398400 is about 1281.8784269164.

The spelling of 2106398400 in words is "two billion, one hundred six million, three hundred ninety-eight 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 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 438833 877666 1316499 1755332 2194165 2632998 3510664 4388330 5265996 6582495 7021328 8776660 10531992 10970825 13164990 14042656 17553320 21063984 21941650 26329980 28085312 32912475 35106640 42127968 43883300 52659960 65824950 70213280 84255936 87766600 105319920 131649900 140426560 175533200 210639840 263299800 351066400 421279680 526599600 702132800 1053199200 2106398400