Search a number
-
+
2105050032 = 24347122877
BaseRepresentation
bin111110101111000…
…1000001110110000
312102201000121210000
41331132020032300
513302343100112
6544514310000
7103110426051
oct17536101660
95381017700
102105050032
11990278278
124a8b88300
13277168647
1415d802728
15c4c137dc
hex7d7883b0

2105050032 has 100 divisors (see below), whose sum is σ = 6178707216. Its totient is φ = 691770240.

The previous prime is 2105049929. The next prime is 2105050063. The reversal of 2105050032 is 2300505012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2105049987 and 2105050014.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80578 + ... + 103454.

Almost surely, 22105050032 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 2105050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089353608).

2105050032 is an abundant number, since it is smaller than the sum of its proper divisors (4073657184).

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

2105050032 is a wasteful number, since it uses less digits than its factorization.

2105050032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2105050032 is about 45880.8242297368. The cubic root of 2105050032 is about 1281.6048457503.

Adding to 2105050032 its reverse (2300505012), we get a palindrome (4405555044).

The spelling of 2105050032 in words is "two billion, one hundred five million, fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2556 3408 3834 5112 5751 7668 10224 11502 15336 22877 23004 30672 45754 46008 68631 91508 92016 137262 183016 205893 274524 366032 411786 549048 617679 823572 1098096 1235358 1624267 1647144 1853037 2470716 3248534 3294288 3706074 4872801 4941432 6497068 7412148 9745602 9882864 12994136 14618403 14824296 19491204 25988272 29236806 29648592 38982408 43855209 58473612 77964816 87710418 116947224 131565627 175420836 233894448 263131254 350841672 526262508 701683344 1052525016 2105050032