Search a number
-
+
4136102300 = 22521113128703
BaseRepresentation
bin1111011010000111…
…1110100110011100
3101200020210202201002
43312201332212130
531432320233200
61522231005432
7204332201201
oct36641764634
911606722632
104136102300
1118327a3970
12975209878
1350bb95915
142b3461ca8
151931abbd5
hexf687e99c

4136102300 has 72 divisors (see below), whose sum is σ = 9866368512. Its totient is φ = 1492504000.

The previous prime is 4136102287. The next prime is 4136102309. The reversal of 4136102300 is 32016314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136102309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129749 + ... + 158451.

It is an arithmetic number, because the mean of its divisors is an integer number (137032896).

Almost surely, 24136102300 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 4136102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933184256).

4136102300 is an abundant number, since it is smaller than the sum of its proper divisors (5730266212).

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

4136102300 is a wasteful number, since it uses less digits than its factorization.

4136102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28859 (or 28852 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4136102300 is about 64312.5361030025. The cubic root of 4136102300 is about 1605.2047046934.

Adding to 4136102300 its reverse (32016314), we get a palindrome (4168118614).

The spelling of 4136102300 in words is "four billion, one hundred thirty-six million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 13100 14410 28703 28820 36025 57406 72050 114812 143515 144100 287030 315733 574060 631466 717575 1262932 1435150 1578665 2870300 3157330 3760093 6314660 7520186 7893325 15040372 15786650 18800465 31573300 37600930 41361023 75201860 82722046 94002325 165444092 188004650 206805115 376009300 413610230 827220460 1034025575 2068051150 4136102300