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114636440 = 23517263641
BaseRepresentation
bin1101101010100…
…11011010011000
321222201010122002
412311103122120
5213321331230
615213020132
72561252012
oct665233230
9258633562
10114636440
1159789066
1232484648
131a999819
14113211b2
15a0e6545
hex6d53698

114636440 has 64 divisors (see below), whose sum is σ = 274570560. Its totient is φ = 42926080.

The previous prime is 114636421. The next prime is 114636463. The reversal of 114636440 is 44636411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178520 + ... + 179160.

It is an arithmetic number, because the mean of its divisors is an integer number (4290165).

Almost surely, 2114636440 is an apocalyptic number.

114636440 is a gapful number since it is divisible by the number (10) 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 114636440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137285280).

114636440 is an abundant number, since it is smaller than the sum of its proper divisors (159934120).

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

114636440 is a wasteful number, since it uses less digits than its factorization.

114636440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 114636440 is about 10706.8408038973. The cubic root of 114636440 is about 485.7814164917.

Subtracting from 114636440 its sum of digits (29), we obtain a palindrome (114636411).

The spelling of 114636440 in words is "one hundred fourteen million, six hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 263 340 526 641 680 1052 1282 1315 2104 2564 2630 3205 4471 5128 5260 6410 8942 10520 10897 12820 17884 21794 22355 25640 35768 43588 44710 54485 87176 89420 108970 168583 178840 217940 337166 435880 674332 842915 1348664 1685830 2865911 3371660 5731822 6743320 11463644 14329555 22927288 28659110 57318220 114636440