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114368480 = 2553719319
BaseRepresentation
bin1101101000100…
…01111111100000
321222012112001122
412310101333200
5213234242410
615203151412
72556054542
oct664217740
9258175048
10114368480
1159615806
1232375568
131a904875
1411291692
15a091e55
hex6d11fe0

114368480 has 48 divisors (see below), whose sum is σ = 277512480. Its totient is φ = 44508672.

The previous prime is 114368479. The next prime is 114368483. The reversal of 114368480 is 84863411.

It is a self number, because there is not a number n which added to its sum of digits gives 114368480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114368483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3740 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (5781510).

Almost surely, 2114368480 is an apocalyptic number.

114368480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114368480 is an abundant number, since it is smaller than the sum of its proper divisors (163144000).

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

114368480 is a wasteful number, since it uses less digits than its factorization.

114368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19371 (or 19363 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 114368480 is about 10694.3199877318. The cubic root of 114368480 is about 485.4026202922.

The spelling of 114368480 in words is "one hundred fourteen million, three hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 19319 38638 77276 96595 154552 193190 309104 386380 618208 714803 772760 1429606 1545520 2859212 3091040 3574015 5718424 7148030 11436848 14296060 22873696 28592120 57184240 114368480