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114505620 = 22354189523
BaseRepresentation
bin1101101001100…
…11011110010100
321222110111011220
412310303132110
5213303134440
615210130340
72560165425
oct664633624
9258414156
10114505620
11596a9849
12324209b0
131a952108
14112c964c
15a0bc8d0
hex6d33794

114505620 has 96 divisors (see below), whose sum is σ = 332760960. Its totient is φ = 29399040.

The previous prime is 114505597. The next prime is 114505631. The reversal of 114505620 is 26505411.

It is a super-2 number, since 2×1145056202 = 26223074023168800, 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 31 ways as a sum of consecutive naturals, for example, 218679 + ... + 219201.

It is an arithmetic number, because the mean of its divisors is an integer number (3466260).

Almost surely, 2114505620 is an apocalyptic number.

114505620 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 114505620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166380480).

114505620 is an abundant number, since it is smaller than the sum of its proper divisors (218255340).

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

114505620 is a wasteful number, since it uses less digits than its factorization.

114505620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 114505620 is about 10700.7298816483. The cubic root of 114505620 is about 485.5965592914.

The spelling of 114505620 in words is "one hundred fourteen million, five hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 89 123 164 178 205 246 267 356 410 445 492 523 534 615 820 890 1046 1068 1230 1335 1569 1780 2092 2460 2615 2670 3138 3649 5230 5340 6276 7298 7845 10460 10947 14596 15690 18245 21443 21894 31380 36490 42886 43788 46547 54735 64329 72980 85772 93094 107215 109470 128658 139641 186188 214430 218940 232735 257316 279282 321645 428860 465470 558564 643290 698205 930940 1286580 1396410 1908427 2792820 3816854 5725281 7633708 9542135 11450562 19084270 22901124 28626405 38168540 57252810 114505620