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114745520 = 24513110949
BaseRepresentation
bin1101101011011…
…10000010110000
321222220200021002
412311232002300
5213333324040
615215221132
72562215021
oct665560260
9258820232
10114745520
115985300a
12325177a8
131aa07376
141134cc48
15a118a15
hex6d6e0b0

114745520 has 40 divisors (see below), whose sum is σ = 268844400. Its totient is φ = 45543680.

The previous prime is 114745517. The next prime is 114745523. The reversal of 114745520 is 25547411.

It is an interprime number because it is at equal distance from previous prime (114745517) and next prime (114745523).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114745523) 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 7 ways as a sum of consecutive naturals, for example, 5006 + ... + 15954.

It is an arithmetic number, because the mean of its divisors is an integer number (6721110).

Almost surely, 2114745520 is an apocalyptic number.

114745520 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 114745520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134422200).

114745520 is an abundant number, since it is smaller than the sum of its proper divisors (154098880).

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

114745520 is a wasteful number, since it uses less digits than its factorization.

114745520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11087 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 114745520 is about 10711.9335322807. The cubic root of 114745520 is about 485.9354461612.

The spelling of 114745520 in words is "one hundred fourteen million, seven hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 10949 21898 43796 54745 87592 109490 175184 218980 437960 875920 1434319 2868638 5737276 7171595 11474552 14343190 22949104 28686380 57372760 114745520