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2104410200 = 2352311312591
BaseRepresentation
bin111110101101110…
…1100000001011000
312102122211010002112
41331123230001120
513302212111300
6544452451452
7103102122464
oct17533540130
95378733075
102104410200
1198a980592
124a8919b88
13276ca3349
1415d6b74a4
15c4b38e35
hex7d6ec058

2104410200 has 96 divisors (see below), whose sum is σ = 5091102720. Its totient is φ = 808080000.

The previous prime is 2104410173. The next prime is 2104410211. The reversal of 2104410200 is 20144012.

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, 810905 + ... + 813495.

It is an arithmetic number, because the mean of its divisors is an integer number (53032320).

Almost surely, 22104410200 is an apocalyptic number.

2104410200 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 2104410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545551360).

2104410200 is an abundant number, since it is smaller than the sum of its proper divisors (2986692520).

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

2104410200 is a wasteful number, since it uses less digits than its factorization.

2104410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2104410200 is about 45873.8509392878. The cubic root of 2104410200 is about 1281.4749842467.

Adding to 2104410200 its reverse (20144012), we get a palindrome (2124554212).

The spelling of 2104410200 in words is "two billion, one hundred four million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 131 155 200 248 262 310 524 620 655 775 1048 1240 1310 1550 2591 2620 3100 3275 4061 5182 5240 6200 6550 8122 10364 12955 13100 16244 20305 20728 25910 26200 32488 40610 51820 64775 80321 81220 101525 103640 129550 160642 162440 203050 259100 321284 339421 401605 406100 518200 642568 678842 803210 812200 1357684 1606420 1697105 2008025 2715368 3212840 3394210 4016050 6788420 8032100 8485525 10522051 13576840 16064200 16971050 21044102 33942100 42088204 52610255 67884200 84176408 105220510 210441020 263051275 420882040 526102550 1052205100 2104410200