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2102404032 = 263310391171
BaseRepresentation
bin111110101010000…
…0010001111000000
312102112001012011000
41331110002033000
513301203412112
6544341452000
7103046065551
oct17524021700
95375035130
102102404032
119898302a3
124a8111000
13276750171
1415d314328
15c488e7dc
hex7d5023c0

2102404032 has 112 divisors (see below), whose sum is σ = 6191910400. Its totient is φ = 699528960.

The previous prime is 2102404001. The next prime is 2102404037. The reversal of 2102404032 is 2304042012.

2102404032 is a `hidden beast` number, since 21 + 0 + 240 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102403996 and 2102404014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102404037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794807 + ... + 1795977.

Almost surely, 22102404032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095955200).

2102404032 is an abundant number, since it is smaller than the sum of its proper divisors (4089506368).

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

2102404032 is a wasteful number, since it uses less digits than its factorization.

2102404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2102404032 is about 45851.9795864911. The cubic root of 2102404032 is about 1281.0676378899.

Adding to 2102404032 its reverse (2304042012), we get a palindrome (4406446044).

The spelling of 2102404032 in words is "two billion, one hundred two million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1039 1171 1728 2078 2342 3117 3513 4156 4684 6234 7026 8312 9351 9368 10539 12468 14052 16624 18702 18736 21078 24936 28053 28104 31617 33248 37404 37472 42156 49872 56106 56208 63234 66496 74808 74944 84312 99744 112212 112416 126468 149616 168624 199488 224424 224832 252936 299232 337248 448848 505872 598464 674496 897696 1011744 1216669 1795392 2023488 2433338 3650007 4866676 7300014 9733352 10950021 14600028 19466704 21900042 29200056 32850063 38933408 43800084 58400112 65700126 77866816 87600168 116800224 131400252 175200336 233600448 262800504 350400672 525601008 700801344 1051202016 2102404032