Search a number
-
+
11736890420 = 22541431272621
BaseRepresentation
bin10101110111001001…
…01011110000110100
31010021222000210212012
422323210223300310
5143014120443140
65220350143352
7563564631263
oct127344536064
933258023765
1011736890420
114a83194542
1223367b1b58
1311507b2098
147d4acc5da
1548a5ec265
hex2bb92bc34

11736890420 has 96 divisors (see below), whose sum is σ = 26049171456. Its totient is φ = 4436812800.

The previous prime is 11736890383. The next prime is 11736890449. The reversal of 11736890420 is 2409863711.

Together with 14312281035 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 4476710 + ... + 4479330.

It is an arithmetic number, because the mean of its divisors is an integer number (271345536).

Almost surely, 211736890420 is an apocalyptic number.

11736890420 is a gapful number since it is divisible by the number (10) 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 11736890420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024585728).

11736890420 is an abundant number, since it is smaller than the sum of its proper divisors (14312281036).

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

11736890420 is a wasteful number, since it uses less digits than its factorization.

11736890420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 11736890420 in words is "eleven billion, seven hundred thirty-six million, eight hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 127 164 172 205 215 254 410 430 508 635 820 860 1270 1763 2540 2621 3526 5207 5242 5461 7052 8815 10414 10484 10922 13105 17630 20828 21844 26035 26210 27305 35260 52070 52420 54610 104140 107461 109220 112703 214922 223901 225406 332867 429844 447802 450812 537305 563515 665734 895604 1074610 1119505 1127030 1331468 1664335 2149220 2239010 2254060 3328670 4478020 4620823 6657340 9241646 13647547 14313281 18483292 23104115 27295094 28626562 46208230 54590188 57253124 68237735 71566405 92416460 136475470 143132810 272950940 286265620 586844521 1173689042 2347378084 2934222605 5868445210 11736890420