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114532152 = 23371953677
BaseRepresentation
bin1101101001110…
…01111100111000
321222111211120120
412310321330320
5213310012102
615210453240
72560335660
oct664717470
9258454516
10114532152
1159717779
1232434220
131a961207
14112d51a0
15a0c56bc
hex6d39f38

114532152 has 128 divisors (see below), whose sum is σ = 351475200. Its totient is φ = 30371328.

The previous prime is 114532139. The next prime is 114532181. The reversal of 114532152 is 251235411.

It is a happy number.

It is a super-2 number, since 2×1145321522 = 26235227683502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 168838 + ... + 169514.

It is an arithmetic number, because the mean of its divisors is an integer number (2745900).

Almost surely, 2114532152 is an apocalyptic number.

114532152 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 114532152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175737600).

114532152 is an abundant number, since it is smaller than the sum of its proper divisors (236943048).

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

114532152 is a wasteful number, since it uses less digits than its factorization.

114532152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 114532152 is about 10701.9695383607. The cubic root of 114532152 is about 485.6340621171.

Adding to 114532152 its reverse (251235411), we get a palindrome (365767563).

The spelling of 114532152 in words is "one hundred fourteen million, five hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 677 742 798 1007 1064 1113 1272 1354 1484 1596 2014 2031 2226 2708 2968 3021 3192 4028 4062 4452 4739 5416 6042 7049 8056 8124 8904 9478 12084 12863 14098 14217 16248 18956 21147 24168 25726 28196 28434 35881 37912 38589 42294 51452 56392 56868 71762 77178 84588 90041 102904 107643 113736 143524 154356 169176 180082 215286 251167 270123 287048 308712 360164 430572 502334 540246 681739 720328 753501 861144 1004668 1080492 1363478 1507002 2009336 2045217 2160984 2726956 3014004 4090434 4772173 5453912 6028008 8180868 9544346 14316519 16361736 19088692 28633038 38177384 57266076 114532152