Search a number
-
+
2104329096 = 2332173241701
BaseRepresentation
bin111110101101101…
…1000001110001000
312102122122222211200
41331123120032020
513302202012341
6544451024200
7103101334152
oct17533301610
95378588750
102104329096
1198a925661
124a889b060
13276c7545c
1415d695ad2
15c4b1edb6
hex7d6d8388

2104329096 has 96 divisors (see below), whose sum is σ = 5764164120. Its totient is φ = 693504000.

The previous prime is 2104329079. The next prime is 2104329113. The reversal of 2104329096 is 6909234012.

2104329096 is a `hidden beast` number, since 210 + 432 + 9 + 0 + 9 + 6 = 666.

2104329096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2104329079) and next prime (2104329113).

It can be written as a sum of positive squares in 4 ways, for example, as 2035272996 + 69056100 = 45114^2 + 8310^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2104329096.

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, 3001546 + ... + 3002246.

Almost surely, 22104329096 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 2104329096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882082060).

2104329096 is an abundant number, since it is smaller than the sum of its proper divisors (3659835024).

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

2104329096 is a wasteful number, since it uses less digits than its factorization.

2104329096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2104329096 is about 45872.9669413261. The cubic root of 2104329096 is about 1281.4585213470.

The spelling of 2104329096 in words is "two billion, one hundred four million, three hundred twenty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 241 346 482 519 692 701 723 964 1038 1384 1402 1446 1557 1928 2076 2103 2169 2804 2892 3114 4152 4206 4338 5608 5784 6228 6309 8412 8676 12456 12618 16824 17352 25236 41693 50472 83386 121273 125079 166772 168941 242546 250158 333544 337882 363819 375237 485092 500316 506823 675764 727638 750474 970184 1000632 1013646 1091457 1351528 1455276 1500948 1520469 2027292 2182914 2910552 3001896 3040938 4054584 4365828 6081876 8731656 12163752 29226793 58453586 87680379 116907172 175360758 233814344 263041137 350721516 526082274 701443032 1052164548 2104329096