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114945860 = 225113181281
BaseRepresentation
bin1101101100111…
…10111101000100
322000021212002002
412312132331010
5213411231420
615223404432
72564011061
oct666367504
9260255062
10114945860
115997a587
12325b3718
131aa77603
14113a1c68
15a158075
hex6d9ef44

114945860 has 48 divisors (see below), whose sum is σ = 245739312. Its totient is φ = 45158400.

The previous prime is 114945851. The next prime is 114945889. The reversal of 114945860 is 68549411.

It can be written as a sum of positive squares in 8 ways, for example, as 41809156 + 73136704 = 6466^2 + 8552^2 .

It is a super-2 number, since 2×1149458602 = 26425101462279200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408920 + ... + 409200.

It is an arithmetic number, because the mean of its divisors is an integer number (5119569).

Almost surely, 2114945860 is an apocalyptic number.

114945860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114945860 is an abundant number, since it is smaller than the sum of its proper divisors (130793452).

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

114945860 is a wasteful number, since it uses less digits than its factorization.

114945860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 114945860 is about 10721.2807070797. The cubic root of 114945860 is about 486.2180881466.

The spelling of 114945860 in words is "one hundred fourteen million, nine hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 113 181 226 281 362 452 562 565 724 905 1124 1130 1405 1810 2260 2810 3620 5620 20453 31753 40906 50861 63506 81812 101722 102265 127012 158765 203444 204530 254305 317530 409060 508610 635060 1017220 5747293 11494586 22989172 28736465 57472930 114945860