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114497800 = 235219291039
BaseRepresentation
bin1101101001100…
…01100100001000
321222110002110021
412310301210020
5213302412200
615210030224
72560133554
oct664614410
9258402407
10114497800
11596a398a
1232418374
131a94b6a1
14112c6864
15a0ba41a
hex6d31908

114497800 has 96 divisors (see below), whose sum is σ = 290160000. Its totient is φ = 41852160.

The previous prime is 114497797. The next prime is 114497807. The reversal of 114497800 is 8794411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114497807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109681 + ... + 110719.

It is an arithmetic number, because the mean of its divisors is an integer number (3022500).

Almost surely, 2114497800 is an apocalyptic number.

114497800 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 114497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

114497800 is an abundant number, since it is smaller than the sum of its proper divisors (175662200).

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

114497800 is a wasteful number, since it uses less digits than its factorization.

114497800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 114497800 is about 10700.3644797736. The cubic root of 114497800 is about 485.5855046621.

The spelling of 114497800 in words is "one hundred fourteen million, four hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 145 152 190 200 232 290 380 475 551 580 725 760 950 1039 1102 1160 1450 1900 2078 2204 2755 2900 3800 4156 4408 5195 5510 5800 8312 10390 11020 13775 19741 20780 22040 25975 27550 30131 39482 41560 51950 55100 60262 78964 98705 103900 110200 120524 150655 157928 197410 207800 241048 301310 394820 493525 572489 602620 753275 789640 987050 1144978 1205240 1506550 1974100 2289956 2862445 3013100 3948200 4579912 5724890 6026200 11449780 14312225 22899560 28624450 57248900 114497800