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114204024 = 233211413517
BaseRepresentation
bin1101100111010…
…01110101111000
321221220011110200
412303221311320
5213214012044
615155442200
72554501224
oct663516570
9257804420
10114204024
11595131a0
12322b6360
131a877a5c
141124b784
15a05d369
hex6ce9d78

114204024 has 96 divisors (see below), whose sum is σ = 345749040. Its totient is φ = 33753600.

The previous prime is 114204023. The next prime is 114204037. The reversal of 114204024 is 420402411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114203988 and 114204006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114204023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30714 + ... + 34230.

Almost surely, 2114204024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172874520).

114204024 is an abundant number, since it is smaller than the sum of its proper divisors (231545016).

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

114204024 is a wasteful number, since it uses less digits than its factorization.

114204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114204024 is about 10686.6282802388. The cubic root of 114204024 is about 485.1698473392.

Adding to 114204024 its reverse (420402411), we get a palindrome (534606435).

It can be divided in two parts, 11 and 4204024, that multiplied together give a palindrome (46244264).

The spelling of 114204024 in words is "one hundred fourteen million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3517 3608 4059 5412 7034 8118 10551 10824 14068 16236 21102 28136 31653 32472 38687 42204 63306 77374 84408 116061 126612 144197 154748 232122 253224 288394 309496 348183 432591 464244 576788 696366 865182 928488 1153576 1297773 1392732 1586167 1730364 2595546 2785464 3172334 3460728 4758501 5191092 6344668 9517002 10382184 12689336 14275503 19034004 28551006 38068008 57102012 114204024