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114004520 = 23575967103
BaseRepresentation
bin1101100101110…
…01001000101000
321221112000210122
412302321020220
5213141121040
615151302412
72553010460
oct662711050
9257460718
10114004520
1159397313
123221aa08
131a807cc6
14111d8ba0
15a01e1b5
hex6cb9228

114004520 has 128 divisors (see below), whose sum is σ = 305510400. Its totient is φ = 37483776.

The previous prime is 114004489. The next prime is 114004529. The reversal of 114004520 is 25400411.

It is not an unprimeable number, because it can be changed into a prime (114004529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106789 + ... + 1106891.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2114004520 is an apocalyptic number.

114004520 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 114004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

114004520 is an abundant number, since it is smaller than the sum of its proper divisors (191505880).

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

114004520 is a wasteful number, since it uses less digits than its factorization.

114004520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 114004520 is about 10677.2899183267. The cubic root of 114004520 is about 484.8871668649.

Adding to 114004520 its reverse (25400411), we get a palindrome (139404931).

The spelling of 114004520 in words is "one hundred fourteen million, four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 67 70 103 118 134 140 206 236 268 280 295 335 412 413 469 472 515 536 590 670 721 824 826 938 1030 1180 1340 1442 1652 1876 2060 2065 2345 2360 2680 2884 3304 3605 3752 3953 4120 4130 4690 5768 6077 6901 7210 7906 8260 9380 12154 13802 14420 15812 16520 18760 19765 24308 27604 27671 28840 30385 31624 34505 39530 42539 48307 48616 55208 55342 60770 69010 79060 85078 96614 110684 121540 138020 138355 158120 170156 193228 212695 221368 241535 243080 276040 276710 340312 386456 407159 425390 483070 553420 814318 850780 966140 1106840 1628636 1701560 1932280 2035795 2850113 3257272 4071590 5700226 8143180 11400452 14250565 16286360 22800904 28501130 57002260 114004520