Search a number
-
+
114458520 = 23351186711
BaseRepresentation
bin1101101001001…
…11111110011000
321222101002120110
412310213332120
5213300133040
615205124320
72556611211
oct664477630
9258332513
10114458520
1159677420
12323b96a0
131a936847
14112b6408
15a0ad980
hex6d27f98

114458520 has 64 divisors (see below), whose sum is σ = 374595840. Its totient is φ = 27747200.

The previous prime is 114458497. The next prime is 114458521. The reversal of 114458520 is 25854411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114458521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42036 + ... + 44675.

It is an arithmetic number, because the mean of its divisors is an integer number (5853060).

Almost surely, 2114458520 is an apocalyptic number.

114458520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114458520 is an abundant number, since it is smaller than the sum of its proper divisors (260137320).

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

114458520 is a wasteful number, since it uses less digits than its factorization.

114458520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86736 (or 86732 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 114458520 is about 10698.5288708308. The cubic root of 114458520 is about 485.5299694460.

The spelling of 114458520 in words is "one hundred fourteen million, four hundred fifty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 86711 173422 260133 346844 433555 520266 693688 867110 953821 1040532 1300665 1734220 1907642 2081064 2601330 2861463 3468440 3815284 4769105 5202660 5722926 7630568 9538210 10405320 11445852 14307315 19076420 22891704 28614630 38152840 57229260 114458520