Search a number
-
+
2152104108 = 223731147533
BaseRepresentation
bin1000000001000110…
…1000000010101100
312112222120012211120
42000101220002230
513401414312413
6553315020540
7104221404000
oct20021500254
95488505746
102152104108
11a04896740
1250089a750
13283b31bab
14165b70700
15c8e0a723
hex804680ac

2152104108 has 96 divisors (see below), whose sum is σ = 6388569600. Its totient is φ = 558976320.

The previous prime is 2152104107. The next prime is 2152104109. The reversal of 2152104108 is 8014012512.

It is an interprime number because it is at equal distance from previous prime (2152104107) and next prime (2152104109).

It is not an unprimeable number, because it can be changed into a prime (2152104107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21510 + ... + 69042.

It is an arithmetic number, because the mean of its divisors is an integer number (66547600).

Almost surely, 22152104108 is an apocalyptic number.

2152104108 is a gapful number since it is divisible by the number (28) 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 2152104108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194284800).

2152104108 is an abundant number, since it is smaller than the sum of its proper divisors (4236465492).

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

2152104108 is a wasteful number, since it uses less digits than its factorization.

2152104108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47572 (or 47556 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2152104108 is about 46390.7761090500. The cubic root of 2152104108 is about 1291.0837812422.

The spelling of 2152104108 in words is "two billion, one hundred fifty-two million, one hundred four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 6468 7546 11319 15092 22638 45276 47533 95066 142599 190132 285198 332731 522863 570396 665462 998193 1045726 1330924 1568589 1996386 2091452 2329117 3137178 3660041 3992772 4658234 6274356 6987351 7320082 9316468 10980123 13974702 14640164 16303819 21960246 25620287 27949404 32607638 43920492 48911457 51240574 65215276 76860861 97822914 102481148 153721722 179342009 195645828 307443444 358684018 538026027 717368036 1076052054 2152104108