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114711552 = 21035461
BaseRepresentation
bin1101101011001…
…01110000000000
321222211221200000
412311211300000
5213331232202
615214400000
72562014004
oct665456000
9258757600
10114711552
115982a53a
1232500000
131a9c4a77
1411340704
15a10d91c
hex6d65c00

114711552 has 132 divisors (see below), whose sum is σ = 344239896. Its totient is φ = 38154240.

The previous prime is 114711547. The next prime is 114711587. The reversal of 114711552 is 255117411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248602 + ... + 249062.

It is an arithmetic number, because the mean of its divisors is an integer number (2607878).

Almost surely, 2114711552 is an apocalyptic number.

114711552 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 114711552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172119948).

114711552 is an abundant number, since it is smaller than the sum of its proper divisors (229528344).

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

114711552 is an frugal number, since it uses more digits than its factorization.

114711552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 466 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 114711552 is about 10710.3478935093. The cubic root of 114711552 is about 485.8874911030.

Adding to 114711552 its reverse (255117411), we get a palindrome (369828963).

The spelling of 114711552 in words is "one hundred fourteen million, seven hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 461 486 512 576 648 768 864 922 972 1024 1152 1296 1383 1536 1728 1844 1944 2304 2592 2766 3072 3456 3688 3888 4149 4608 5184 5532 6912 7376 7776 8298 9216 10368 11064 12447 13824 14752 15552 16596 20736 22128 24894 27648 29504 31104 33192 37341 41472 44256 49788 59008 62208 66384 74682 82944 88512 99576 112023 118016 124416 132768 149364 177024 199152 224046 236032 248832 265536 298728 354048 398304 448092 472064 531072 597456 708096 796608 896184 1062144 1194912 1416192 1593216 1792368 2124288 2389824 3186432 3584736 4248576 4779648 6372864 7169472 9559296 12745728 14338944 19118592 28677888 38237184 57355776 114711552