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114441540 = 22352989739
BaseRepresentation
bin1101101001000…
…11110101000100
321222100020021120
412310203311010
5213244112130
615204513540
72556510543
oct664436504
9258306246
10114441540
1159665694
12323ab8b0
131a92bbb5
14112b015a
15a0a8910
hex6d23d44

114441540 has 96 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 29094912.

The previous prime is 114441527. The next prime is 114441571. The reversal of 114441540 is 45144411.

It is a self number, because there is not a number n which added to its sum of digits gives 114441540.

It is an unprimeable number.

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, 154491 + ... + 155229.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2114441540 is an apocalyptic number.

114441540 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 114441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

114441540 is an abundant number, since it is smaller than the sum of its proper divisors (221222460).

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

114441540 is a wasteful number, since it uses less digits than its factorization.

114441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 114441540 is about 10697.7352743466. The cubic root of 114441540 is about 485.5059586905.

Adding to 114441540 its reverse (45144411), we get a palindrome (159585951).

The spelling of 114441540 in words is "one hundred fourteen million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 89 116 145 174 178 267 290 348 356 435 445 534 580 739 870 890 1068 1335 1478 1740 1780 2217 2581 2670 2956 3695 4434 5162 5340 7390 7743 8868 10324 11085 12905 14780 15486 21431 22170 25810 30972 38715 42862 44340 51620 64293 65771 77430 85724 107155 128586 131542 154860 197313 214310 257172 263084 321465 328855 394626 428620 642930 657710 789252 986565 1285860 1315420 1907359 1973130 3814718 3946260 5722077 7629436 9536795 11444154 19073590 22888308 28610385 38147180 57220770 114441540