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114671436 = 223113753443
BaseRepresentation
bin1101101010110…
…11111101001100
321222202220122020
412311123331030
5213323441221
615213450140
72561456025
oct665337514
9258686566
10114671436
1159802390
12324a0950
131a9ac729
141132dc4c
15a101ac6
hex6d5bf4c

114671436 has 96 divisors (see below), whose sum is σ = 306125568. Its totient is φ = 33096960.

The previous prime is 114671413. The next prime is 114671437. The reversal of 114671436 is 634176411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 114671397 and 114671406.

It is not an unprimeable number, because it can be changed into a prime (114671437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 258631 + ... + 259073.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2114671436 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 114671436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

114671436 is an abundant number, since it is smaller than the sum of its proper divisors (191454132).

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

114671436 is a wasteful number, since it uses less digits than its factorization.

114671436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 114671436 is about 10708.4749614499. The cubic root of 114671436 is about 485.8308442792.

The spelling of 114671436 in words is "one hundred fourteen million, six hundred seventy-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 53 66 74 106 111 132 148 159 212 222 318 407 443 444 583 636 814 886 1166 1221 1329 1628 1749 1772 1961 2332 2442 2658 3498 3922 4873 4884 5316 5883 6996 7844 9746 11766 14619 16391 19492 21571 23479 23532 29238 32782 43142 46958 49173 58476 64713 65564 70437 86284 93916 98346 129426 140874 180301 196692 258269 258852 281748 360602 516538 540903 721204 774807 868723 1033076 1081806 1549614 1737446 2163612 2606169 3099228 3474892 5212338 9555953 10424676 19111906 28667859 38223812 57335718 114671436