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114297400 = 235272107109
BaseRepresentation
bin1101101000000…
…00101000111000
321222001220120001
412310000220320
5213230004100
615201442344
72555340400
oct664005070
9258056501
10114297400
1159577368
12323403b4
131a8ab3c9
1411273800
15a07ad6a
hex6d00a38

114297400 has 144 divisors (see below), whose sum is σ = 314879400. Its totient is φ = 38465280.

The previous prime is 114297389. The next prime is 114297401. The reversal of 114297400 is 4792411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114297401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1048546 + ... + 1048654.

Almost surely, 2114297400 is an apocalyptic number.

114297400 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 114297400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157439700).

114297400 is an abundant number, since it is smaller than the sum of its proper divisors (200582000).

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

114297400 is a wasteful number, since it uses less digits than its factorization.

114297400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 114297400 is about 10690.9962117662. The cubic root of 114297400 is about 485.3020402243.

The spelling of 114297400 in words is "one hundred fourteen million, two hundred ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 107 109 140 175 196 200 214 218 245 280 350 392 428 436 490 535 545 700 749 763 856 872 980 1070 1090 1225 1400 1498 1526 1960 2140 2180 2450 2675 2725 2996 3052 3745 3815 4280 4360 4900 5243 5341 5350 5450 5992 6104 7490 7630 9800 10486 10682 10700 10900 11663 14980 15260 18725 19075 20972 21364 21400 21800 23326 26215 26705 29960 30520 37450 38150 41944 42728 46652 52430 53410 58315 74900 76300 81641 93304 104860 106820 116630 131075 133525 149800 152600 163282 209720 213640 233260 262150 267050 291575 326564 408205 466520 524300 534100 571487 583150 653128 816410 1048600 1068200 1142974 1166300 1632820 2041025 2285948 2332600 2857435 3265640 4082050 4571896 5714870 8164100 11429740 14287175 16328200 22859480 28574350 57148700 114297400