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114044160 = 2835171747
BaseRepresentation
bin1101100110000…
…10110100000000
321221121001011210
412303002310000
5213143403120
615152210120
72553234156
oct663026400
9257531153
10114044160
115941407a
1232239940
131a820069
14112093d6
15a02ace0
hex6cc2d00

114044160 has 144 divisors (see below), whose sum is σ = 385874496. Its totient is φ = 28606464.

The previous prime is 114044141. The next prime is 114044167. The reversal of 114044160 is 61440411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114044167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64407 + ... + 66153.

It is an arithmetic number, because the mean of its divisors is an integer number (2679684).

Almost surely, 2114044160 is an apocalyptic number.

114044160 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 114044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192937248).

114044160 is an abundant number, since it is smaller than the sum of its proper divisors (271830336).

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

114044160 is a wasteful number, since it uses less digits than its factorization.

114044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 114044160 is about 10679.1460332744. The cubic root of 114044160 is about 484.9433596661.

Adding to 114044160 its reverse (61440411), we get a palindrome (175484571).

The spelling of 114044160 in words is "one hundred fourteen million, forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1747 1920 2040 2176 2720 3264 3494 3840 4080 4352 5241 5440 6528 6988 8160 8735 10482 10880 13056 13976 16320 17470 20964 21760 26205 27952 29699 32640 34940 41928 52410 55904 59398 65280 69880 83856 89097 104820 111808 118796 139760 148495 167712 178194 209640 223616 237592 279520 296990 335424 356388 419280 445485 447232 475184 559040 593980 670848 712776 838560 890970 950368 1118080 1187960 1341696 1425552 1677120 1781940 1900736 2236160 2375920 2851104 3354240 3563880 3801472 4751840 5702208 6708480 7127760 7602944 9503680 11404416 14255520 19007360 22808832 28511040 38014720 57022080 114044160