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114963000 = 2335338321
BaseRepresentation
bin1101101101000…
…11001000111000
322000022201120220
412312203020320
5213412304000
615224020040
72564112045
oct666431070
9260281526
10114963000
1159991449
1232601620
131aa82359
14113a81cc
15a15d1a0
hex6da3238

114963000 has 64 divisors (see below), whose sum is σ = 358693920. Its totient is φ = 30656000.

The previous prime is 114962999. The next prime is 114963011. The reversal of 114963000 is 369411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16161 + ... + 22160.

Almost surely, 2114963000 is an apocalyptic number.

114963000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114963000 is an abundant number, since it is smaller than the sum of its proper divisors (243730920).

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

114963000 is a wasteful number, since it uses less digits than its factorization.

114963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38345 (or 38331 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 114963000 is about 10722.0800220853. The cubic root of 114963000 is about 486.2422542013.

The spelling of 114963000 in words is "one hundred fourteen million, nine hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 38321 76642 114963 153284 191605 229926 306568 383210 459852 574815 766420 919704 958025 1149630 1532840 1916050 2299260 2874075 3832100 4598520 4790125 5748150 7664200 9580250 11496300 14370375 19160500 22992600 28740750 38321000 57481500 114963000