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114490000 = 24541072
BaseRepresentation
bin1101101001011…
…11101010010000
321222102200202101
412310233222100
5213302140000
615205530144
72560102042
oct664575220
9258380671
10114490000
1159699039
1232413954
131a947c81
14112c3a92
15a0b7e6a
hex6d2fa90

114490000 has 75 divisors (see below), whose sum is σ = 279806527. Its totient is φ = 45368000.

The previous prime is 114489983. The next prime is 114490001. The reversal of 114490000 is 94411.

The square root of 114490000 is 10700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8976016 + 105513984 = 2996^2 + 10272^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114490000.

It is not an unprimeable number, because it can be changed into a prime (114490001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1069947 + ... + 1070053.

Almost surely, 2114490000 is an apocalyptic number.

114490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114490000 is the 10700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114490000

114490000 is an abundant number, since it is smaller than the sum of its proper divisors (165316527).

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

114490000 is an frugal number, since it uses more digits than its factorization.

114490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 114490000 is about 485.5744778041.

Multiplying 114490000 by its product of nonzero digits (144), we get a square (16486560000 = 1284002).

The spelling of 114490000 in words is "one hundred fourteen million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1070 1250 1712 2000 2140 2500 2675 4280 5000 5350 8560 10000 10700 11449 13375 21400 22898 26750 42800 45796 53500 57245 66875 91592 107000 114490 133750 183184 214000 228980 267500 286225 457960 535000 572450 915920 1070000 1144900 1431125 2289800 2862250 4579600 5724500 7155625 11449000 14311250 22898000 28622500 57245000 114490000