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114369552 = 243211103701
BaseRepresentation
bin1101101000100…
…10010000010000
321222012120112100
412310102100100
5213234311202
615203200400
72556060633
oct664222020
9258176470
10114369552
11596165a0
1232376100
131a9051bb
1411291c1a
15a09241c
hex6d12410

114369552 has 120 divisors (see below), whose sum is σ = 353066688. Its totient is φ = 34272000.

The previous prime is 114369517. The next prime is 114369559. The reversal of 114369552 is 255963411.

114369552 is a `hidden beast` number, since 1 + 1 + 43 + 69 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114369559) 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, 162802 + ... + 163502.

Almost surely, 2114369552 is an apocalyptic number.

114369552 is a gapful number since it is divisible by the number (12) 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 114369552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176533344).

114369552 is an abundant number, since it is smaller than the sum of its proper divisors (238697136).

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

114369552 is a wasteful number, since it uses less digits than its factorization.

114369552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 114369552 is about 10694.3701076782. The cubic root of 114369552 is about 485.4041368814.

It can be divided in two parts, 114369 and 552, that added together give a square (114921 = 3392).

The spelling of 114369552 in words is "one hundred fourteen million, three hundred sixty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 701 792 824 927 1133 1236 1402 1584 1648 1854 2103 2266 2472 2804 3399 3708 4206 4532 4944 5608 6309 6798 7416 7711 8412 9064 10197 11216 12618 13596 14832 15422 16824 18128 20394 23133 25236 27192 30844 33648 40788 46266 50472 54384 61688 69399 72203 81576 92532 100944 123376 138798 144406 163152 185064 216609 277596 288812 370128 433218 555192 577624 649827 794233 866436 1110384 1155248 1299654 1588466 1732872 2382699 2599308 3176932 3465744 4765398 5198616 6353864 7148097 9530796 10397232 12707728 14296194 19061592 28592388 38123184 57184776 114369552