Search a number
-
+
2107534132 = 2211173197937
BaseRepresentation
bin111110110011110…
…0110101100110100
312102212200211022201
41331213212230310
513304012043012
6545043434244
7103140513244
oct17547465464
95385624281
102107534132
11991714650
124a9985984
13277828222
1415dc8bb24
15c5054857
hex7d9e6b34

2107534132 has 96 divisors (see below), whose sum is σ = 4447650816. Its totient is φ = 862617600.

The previous prime is 2107534127. The next prime is 2107534153. The reversal of 2107534132 is 2314357012.

It is a self number, because there is not a number n which added to its sum of digits gives 2107534132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2248768 + ... + 2249704.

It is an arithmetic number, because the mean of its divisors is an integer number (46329696).

Almost surely, 22107534132 is an apocalyptic number.

2107534132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2107534132 is an abundant number, since it is smaller than the sum of its proper divisors (2340116684).

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

2107534132 is a wasteful number, since it uses less digits than its factorization.

2107534132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2107534132 is about 45907.8874704554. The cubic root of 2107534132 is about 1282.1087740923.

The spelling of 2107534132 in words is "two billion, one hundred seven million, five hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 97 124 187 194 341 374 388 527 682 748 937 1054 1067 1364 1649 1874 2108 2134 3007 3298 3748 4268 5797 6014 6596 10307 11594 12028 15929 18139 20614 23188 29047 31858 33077 36278 41228 51119 58094 63716 66154 72556 90889 102238 116188 132308 175219 181778 204476 319517 350438 363556 493799 562309 639034 700876 987598 999779 1124618 1278068 1545113 1975196 1999558 2249236 2817559 3090226 3999116 5431789 5635118 6180452 10863578 11270236 16996243 21727156 30993149 33992486 47898503 61986298 67984972 95797006 123972596 191594012 526883533 1053767066 2107534132