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114451360 = 2553719333
BaseRepresentation
bin1101101001001…
…10001110100000
321222100201202021
412310212032200
5213244420420
615205031224
72556551302
oct664461640
9258321667
10114451360
1159672001
12323b5514
131a9334ca
14112b3972
15a0ab7aa
hex6d263a0

114451360 has 48 divisors (see below), whose sum is σ = 277713576. Its totient is φ = 44540928.

The previous prime is 114451339. The next prime is 114451387. The reversal of 114451360 is 63154411.

It can be written as a sum of positive squares in 4 ways, for example, as 114318864 + 132496 = 10692^2 + 364^2 .

It is a super-2 number, since 2×1144513602 = 26198227611699200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3747 + ... + 15586.

Almost surely, 2114451360 is an apocalyptic number.

114451360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114451360 is an abundant number, since it is smaller than the sum of its proper divisors (163262216).

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

114451360 is a wasteful number, since it uses less digits than its factorization.

114451360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19385 (or 19377 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 114451360 is about 10698.1942401510. The cubic root of 114451360 is about 485.5198450589.

The spelling of 114451360 in words is "one hundred fourteen million, four hundred fifty-one thousand, three hundred sixty".

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 19333 38666 77332 96665 154664 193330 309328 386660 618656 715321 773320 1430642 1546640 2861284 3093280 3576605 5722568 7153210 11445136 14306420 22890272 28612840 57225680 114451360