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114444660 = 223511592939
BaseRepresentation
bin1101101001001…
…00100101110100
321222100101120010
412310210211310
5213244212120
615204540220
72556522621
oct664444564
9258311503
10114444660
1159667a70
12323b1670
131a930445
14112b1348
15a0a97e0
hex6d24974

114444660 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 27264640.

The previous prime is 114444641. The next prime is 114444661. The reversal of 114444660 is 66444411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114444661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37471 + ... + 40409.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2114444660 is an apocalyptic number.

114444660 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 114444660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

114444660 is an abundant number, since it is smaller than the sum of its proper divisors (241177740).

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

114444660 is a wasteful number, since it uses less digits than its factorization.

114444660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 114444660 is about 10697.8810986101. The cubic root of 114444660 is about 485.5103707389.

It can be divided in two parts, 11 and 4444660, that added together give a triangular number (4444671 = T2981).

The spelling of 114444660 in words is "one hundred fourteen million, four hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 2939 3245 3540 3894 5878 6490 7788 8817 9735 11756 12980 14695 17634 19470 29390 32329 35268 38940 44085 58780 64658 88170 96987 129316 161645 173401 176340 193974 323290 346802 387948 484935 520203 646580 693604 867005 969870 1040406 1734010 1907411 1939740 2080812 2601015 3468020 3814822 5202030 5722233 7629644 9537055 10404060 11444466 19074110 22888932 28611165 38148220 57222330 114444660