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114514680 = 23357136327
BaseRepresentation
bin1101101001101…
…01101011111000
321222110221121110
412310311223320
5213303432210
615210240320
72560234020
oct664655370
9258427543
10114514680
1159705635
12324260a0
131a956287
14112cca80
15a0c0420
hex6d35af8

114514680 has 64 divisors (see below), whose sum is σ = 392624640. Its totient is φ = 26174592.

The previous prime is 114514663. The next prime is 114514711. The reversal of 114514680 is 86415411.

It is a super-2 number, since 2×1145146802 = 26227223871004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 67324 + ... + 69003.

It is an arithmetic number, because the mean of its divisors is an integer number (6134760).

Almost surely, 2114514680 is an apocalyptic number.

114514680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114514680 is an abundant number, since it is smaller than the sum of its proper divisors (278109960).

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

114514680 is a wasteful number, since it uses less digits than its factorization.

114514680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136348 (or 136344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114514680 is about 10701.1532088836. The cubic root of 114514680 is about 485.6093661993.

The spelling of 114514680 in words is "one hundred fourteen million, five hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 136327 272654 408981 545308 681635 817962 954289 1090616 1363270 1635924 1908578 2044905 2726540 2862867 3271848 3817156 4089810 4771445 5453080 5725734 7634312 8179620 9542890 11451468 14314335 16359240 19085780 22902936 28628670 38171560 57257340 114514680