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2106193908 = 22371312715187
BaseRepresentation
bin111110110001001…
…1111011111110100
312102210011201212210
41331202133133310
513303141201113
6544555013420
7103123232010
oct17542373764
95383151783
102106193908
11990989725
124a943a270
132774791b0
1415da1d540
15c4d8c6c3
hex7d89f7f4

2106193908 has 96 divisors (see below), whose sum is σ = 6096584704. Its totient is φ = 551069568.

The previous prime is 2106193907. The next prime is 2106193931. The reversal of 2106193908 is 8093916012.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106193907) 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, 131091 + ... + 146277.

Almost surely, 22106193908 is an apocalyptic number.

2106193908 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 2106193908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048292352).

2106193908 is an abundant number, since it is smaller than the sum of its proper divisors (3990390796).

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

2106193908 is a wasteful number, since it uses less digits than its factorization.

2106193908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15341 (or 15339 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2106193908 is about 45893.2882674580. The cubic root of 2106193908 is about 1281.8369434112.

The spelling of 2106193908 in words is "two billion, one hundred six million, one hundred ninety-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 127 156 182 254 273 364 381 508 546 762 889 1092 1524 1651 1778 2667 3302 3556 4953 5334 6604 9906 10668 11557 15187 19812 23114 30374 34671 45561 46228 60748 69342 91122 106309 138684 182244 197431 212618 318927 394862 425236 592293 637854 789724 1184586 1275708 1382017 1928749 2369172 2764034 3857498 4146051 5528068 5786247 7714996 8292102 11572494 13501243 16584204 23144988 25073737 27002486 40503729 50147474 54004972 75221211 81007458 100294948 150442422 162014916 175516159 300884844 351032318 526548477 702064636 1053096954 2106193908