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2104187932 = 22711471371061
BaseRepresentation
bin111110101101011…
…0101110000011100
312102122101211012101
41331122311300130
513302133003212
6544444014444
7103100205460
oct17532656034
95378354171
102104187932
1198a8395a0
124a8831424
13276c26122
1415d65a4a0
15c4ae3157
hex7d6b5c1c

2104187932 has 96 divisors (see below), whose sum is σ = 4727310336. Its totient is φ = 795763200.

The previous prime is 2104187909. The next prime is 2104187941. The reversal of 2104187932 is 2397814012.

It is a junction number, because it is equal to n+sod(n) for n = 2104187891 and 2104187900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982682 + ... + 1983742.

It is an arithmetic number, because the mean of its divisors is an integer number (49242816).

Almost surely, 22104187932 is an apocalyptic number.

2104187932 is a gapful number since it is divisible by the number (22) 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 2104187932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363655168).

2104187932 is an abundant number, since it is smaller than the sum of its proper divisors (2623122404).

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

2104187932 is a wasteful number, since it uses less digits than its factorization.

2104187932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2104187932 is about 45871.4282751257. The cubic root of 2104187932 is about 1281.4298661561.

It can be divided in two parts, 2104 and 187932, that added together give a triangular number (190036 = T616).

The spelling of 2104187932 in words is "two billion, one hundred four million, one hundred eighty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 137 154 188 274 308 329 517 548 658 959 1034 1061 1316 1507 1918 2068 2122 3014 3619 3836 4244 6028 6439 7238 7427 10549 11671 12878 14476 14854 21098 23342 25756 29708 42196 45073 46684 49867 70829 81697 90146 99734 141658 145357 163394 180292 199468 283316 290714 326788 349069 495803 548537 581428 698138 991606 1017499 1097074 1396276 1598927 1983212 2034998 2194148 3197854 3839759 4069996 6395708 6831779 7679518 11192489 13663558 15359036 22384978 27327116 44769956 47822453 75149569 95644906 150299138 191289812 300598276 526046983 1052093966 2104187932