Search a number
-
+
4132410420 = 2235279124677
BaseRepresentation
bin1111011001001111…
…1001010000110100
3101122222212012101210
43312103321100310
531430344113140
61522015521420
7204255623535
oct36623712064
911588765353
104132410420
111830702126
12973b29270
1350b1a2388
142b2b8068c
15192bccd80
hexf64f9434

4132410420 has 48 divisors (see below), whose sum is σ = 11575363968. Its totient is φ = 1101536640.

The previous prime is 4132410341. The next prime is 4132410461. The reversal of 4132410420 is 240142314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155122 + ... + 179798.

It is an arithmetic number, because the mean of its divisors is an integer number (241153416).

Almost surely, 24132410420 is an apocalyptic number.

It is an amenable number.

4132410420 is an abundant number, since it is smaller than the sum of its proper divisors (7442953548).

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

4132410420 is a wasteful number, since it uses less digits than its factorization.

4132410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27480 (or 27478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4132410420 is about 64283.8270484886. The cubic root of 4132410420 is about 1604.7269612499.

Adding to 4132410420 its reverse (240142314), we get a palindrome (4372552734).

The spelling of 4132410420 in words is "four billion, one hundred thirty-two million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2791 5582 8373 11164 13955 16746 24677 27910 33492 41865 49354 55820 74031 83730 98708 123385 148062 167460 246770 296124 370155 493540 740310 1480620 68873507 137747014 206620521 275494028 344367535 413241042 688735070 826482084 1033102605 1377470140 2066205210 4132410420