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114517340 = 22572772953
BaseRepresentation
bin1101101001101…
…10010101011100
321222111002020222
412310312111130
5213304023330
615210300512
72560244540
oct664662534
9258432228
10114517340
1159707633
1232427738
131a957552
14112cda20
15a0c10e5
hex6d3655c

114517340 has 48 divisors (see below), whose sum is σ = 275927232. Its totient is φ = 39108096.

The previous prime is 114517339. The next prime is 114517367. The reversal of 114517340 is 43715411.

It is a super-2 number, since 2×1145173402 = 26228442321351200, which contains 22 as substring.

It is a congruent number.

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, 37304 + ... + 40256.

It is an arithmetic number, because the mean of its divisors is an integer number (5748484).

Almost surely, 2114517340 is an apocalyptic number.

114517340 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 114517340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137963616).

114517340 is an abundant number, since it is smaller than the sum of its proper divisors (161409892).

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

114517340 is a wasteful number, since it uses less digits than its factorization.

114517340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 114517340 is about 10701.2774938322. The cubic root of 114517340 is about 485.6131261566.

The spelling of 114517340 in words is "one hundred fourteen million, five hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 554 1108 1385 1939 2770 2953 3878 5540 5906 7756 9695 11812 14765 19390 20671 29530 38780 41342 59060 82684 103355 206710 413420 817981 1635962 3271924 4089905 5725867 8179810 11451734 16359620 22903468 28629335 57258670 114517340