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2104200024 = 233175419533
BaseRepresentation
bin111110101101011…
…1000101101011000
312102122102102210020
41331122320231120
513302133400044
6544444150440
7103100255643
oct17532705530
95378372706
102104200024
1198a847693
124a8838420
13276c2b794
1415d660a5a
15c4ae6a19
hex7d6b8b58

2104200024 has 64 divisors (see below), whose sum is σ = 5580822240. Its totient is φ = 658851840.

The previous prime is 2104200023. The next prime is 2104200031. The reversal of 2104200024 is 4200024012.

It is a junction number, because it is equal to n+sod(n) for n = 2104199976 and 2104200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104200023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215962 + ... + 225494.

Almost surely, 22104200024 is an apocalyptic number.

2104200024 is a gapful number since it is divisible by the number (24) 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 2104200024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790411120).

2104200024 is an abundant number, since it is smaller than the sum of its proper divisors (3476622216).

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

2104200024 is a wasteful number, since it uses less digits than its factorization.

2104200024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2104200024 is about 45871.5600781138. The cubic root of 2104200024 is about 1281.4323207880.

Adding to 2104200024 its reverse (4200024012), we get a palindrome (6304224036).

The spelling of 2104200024 in words is "two billion, one hundred four million, two hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 541 1082 1623 2164 3246 4328 6492 9197 9533 12984 18394 19066 27591 28599 36788 38132 55182 57198 73576 76264 110364 114396 162061 220728 228792 324122 486183 648244 972366 1296488 1944732 3889464 5157353 10314706 15472059 20629412 30944118 41258824 61888236 87675001 123776472 175350002 263025003 350700004 526050006 701400008 1052100012 2104200024