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168114300 = 223524711923
BaseRepresentation
bin10100000010100…
…11100001111100
3102201100002110120
422001103201330
5321014124200
624403134540
74110643104
oct1201234174
9381302416
10168114300
1186994842
1248374450
1328aa1c23
1418482204
15eb5b9a0
hexa05387c

168114300 has 72 divisors (see below), whose sum is σ = 496801536. Its totient is φ = 43872960.

The previous prime is 168114277. The next prime is 168114301. The reversal of 168114300 is 3411861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168114301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8139 + ... + 20061.

Almost surely, 2168114300 is an apocalyptic number.

168114300 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 168114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248400768).

168114300 is an abundant number, since it is smaller than the sum of its proper divisors (328687236).

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

168114300 is a wasteful number, since it uses less digits than its factorization.

168114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 168114300 is about 12965.8898653351. The cubic root of 168114300 is about 551.9099438257.

The spelling of 168114300 in words is "one hundred sixty-eight million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 11923 14100 23846 35769 47692 59615 71538 119230 143076 178845 238460 298075 357690 560381 596150 715380 894225 1120762 1192300 1681143 1788450 2241524 2801905 3362286 3576900 5603810 6724572 8405715 11207620 14009525 16811430 28019050 33622860 42028575 56038100 84057150 168114300