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4104435420 = 22325223102253
BaseRepresentation
bin1111010010100100…
…1011011011011100
3101121001012220220200
43310221023123130
531401213413140
61515140143500
7203466061011
oct36451133334
911531186820
104104435420
111816935098
12966697b90
13505459017
142ad17b708
15190504030
hexf4a4b6dc

4104435420 has 72 divisors (see below), whose sum is σ = 12506073216. Its totient is φ = 1089597312.

The previous prime is 4104435389. The next prime is 4104435427. The reversal of 4104435420 is 245344014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104435427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10987 + ... + 91266.

Almost surely, 24104435420 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 4104435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253036608).

4104435420 is an abundant number, since it is smaller than the sum of its proper divisors (8401637796).

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

4104435420 is a wasteful number, since it uses less digits than its factorization.

4104435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102491 (or 102486 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4104435420 is about 64065.8678236704. The cubic root of 4104435420 is about 1601.0976088413.

Adding to 4104435420 its reverse (245344014), we get a palindrome (4349779434).

The spelling of 4104435420 in words is "four billion, one hundred four million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 6690 8028 10035 13380 20070 40140 102253 204506 306759 409012 511265 613518 920277 1022530 1227036 1533795 1840554 2045060 3067590 3681108 4601385 6135180 9202770 18405540 22802419 45604838 68407257 91209676 114012095 136814514 205221771 228024190 273629028 342036285 410443542 456048380 684072570 820887084 1026108855 1368145140 2052217710 4104435420