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114799470 = 23517213241
BaseRepresentation
bin1101101011110…
…11001101101110
322000000102021020
412311323031232
5213342040340
615220315010
72562531222
oct665731556
9260012236
10114799470
115988a5a5
1232542a66
131aa25aa6
1411364782
15a1299d0
hex6d7b36e

114799470 has 48 divisors (see below), whose sum is σ = 292701168. Its totient is φ = 28810240.

The previous prime is 114799469. The next prime is 114799481. The reversal of 114799470 is 74997411.

It is a super-3 number, since 3×1147994703 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050 + ... + 15290.

It is an arithmetic number, because the mean of its divisors is an integer number (6097941).

Almost surely, 2114799470 is an apocalyptic number.

114799470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114799470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146350584).

114799470 is an abundant number, since it is smaller than the sum of its proper divisors (177901698).

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

114799470 is a wasteful number, since it uses less digits than its factorization.

114799470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13285 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 114799470 is about 10714.4514558609. The cubic root of 114799470 is about 486.0115917911.

The spelling of 114799470 in words is "one hundred fourteen million, seven hundred ninety-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 13241 26482 39723 66205 79446 132410 198615 225097 397230 450194 675291 1125485 1350582 2250970 3376455 3826649 6752910 7653298 11479947 19133245 22959894 38266490 57399735 114799470