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114553432 = 237192331151
BaseRepresentation
bin1101101001111…
…11001001011000
321222112220202201
412310333021120
5213311202212
615211135544
72560455010
oct664771130
9258486681
10114553432
1159731764
12324445b4
131a96aac6
14112dcc40
15a0cbb57
hex6d3f258

114553432 has 128 divisors (see below), whose sum is σ = 280166400. Its totient is φ = 42768000.

The previous prime is 114553427. The next prime is 114553447. The reversal of 114553432 is 234355411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114553432.

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, 758557 + ... + 758707.

It is an arithmetic number, because the mean of its divisors is an integer number (2188800).

Almost surely, 2114553432 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 114553432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140083200).

114553432 is an abundant number, since it is smaller than the sum of its proper divisors (165612968).

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

114553432 is a wasteful number, since it uses less digits than its factorization.

114553432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 114553432 is about 10702.9637017043. The cubic root of 114553432 is about 485.6641370864.

The spelling of 114553432 in words is "one hundred fourteen million, five hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 23 28 31 38 46 56 62 76 92 124 133 151 152 161 184 217 248 266 302 322 434 437 532 589 604 644 713 868 874 1057 1064 1178 1208 1288 1426 1736 1748 2114 2356 2852 2869 3059 3473 3496 4123 4228 4681 4712 4991 5704 5738 6118 6946 8246 8456 9362 9982 11476 12236 13547 13892 16492 18724 19964 20083 22952 24311 24472 27094 27784 32767 32984 37448 39928 40166 48622 54188 65534 65987 80332 88939 94829 97244 107663 108376 131068 131974 160664 177878 189658 194488 215326 262136 263948 355756 379316 430652 461909 527896 622573 711512 753641 758632 861304 923818 1245146 1507282 1847636 2045597 2490292 3014564 3695272 4091194 4980584 6029128 8182388 14319179 16364776 28638358 57276716 114553432