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114664480 = 2557372767
BaseRepresentation
bin1101101010110…
…10010000100000
321222202120002121
412311122100200
5213323230410
615213354024
72561426530
oct665322040
9258676077
10114664480
11597a8137
1232498914
131a9a9508
141132b4c0
15a0ee9da
hex6d5a420

114664480 has 96 divisors (see below), whose sum is σ = 318076416. Its totient is φ = 38237184.

The previous prime is 114664477. The next prime is 114664481. The reversal of 114664480 is 84466411.

It is not an unprimeable number, because it can be changed into a prime (114664481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40057 + ... + 42823.

It is an arithmetic number, because the mean of its divisors is an integer number (3313296).

Almost surely, 2114664480 is an apocalyptic number.

114664480 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 114664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159038208).

114664480 is an abundant number, since it is smaller than the sum of its proper divisors (203411936).

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

114664480 is a wasteful number, since it uses less digits than its factorization.

114664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 114664480 is about 10708.1501670457. The cubic root of 114664480 is about 485.8210205376.

The spelling of 114664480 in words is "one hundred fourteen million, six hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1480 2072 2590 2767 2960 4144 5180 5534 5920 8288 10360 11068 13835 19369 20720 22136 27670 38738 41440 44272 55340 77476 88544 96845 102379 110680 154952 193690 204758 221360 309904 387380 409516 442720 511895 619808 716653 774760 819032 1023790 1433306 1549520 1638064 2047580 2866612 3099040 3276128 3583265 4095160 5733224 7166530 8190320 11466448 14333060 16380640 22932896 28666120 57332240 114664480