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89900514 = 2321119231039
BaseRepresentation
bin1010101101111…
…00010111100010
320021011102022200
411112330113202
5141003304024
612530514030
72141066424
oct526742742
9207142280
1089900514
1146823650
1226135916
1315818892
14bd22814
157d5c2c9
hex55bc5e2

89900514 has 96 divisors (see below), whose sum is σ = 233625600. Its totient is φ = 24662880.

The previous prime is 89900513. The next prime is 89900521. The reversal of 89900514 is 41500998.

It is not an unprimeable number, because it can be changed into a prime (89900513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86007 + ... + 87045.

It is an arithmetic number, because the mean of its divisors is an integer number (2433600).

Almost surely, 289900514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89900514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116812800).

89900514 is an abundant number, since it is smaller than the sum of its proper divisors (143725086).

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

89900514 is a wasteful number, since it uses less digits than its factorization.

89900514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89900514 is about 9481.5881581094. The cubic root of 89900514 is about 447.9752889484.

The spelling of 89900514 in words is "eighty-nine million, nine hundred thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 23 33 38 46 57 66 69 99 114 138 171 198 207 209 253 342 414 418 437 506 627 759 874 1039 1254 1311 1518 1881 2078 2277 2622 3117 3762 3933 4554 4807 6234 7866 9351 9614 11429 14421 18702 19741 22858 23897 28842 34287 39482 43263 47794 59223 68574 71691 86526 102861 118446 143382 177669 205722 215073 217151 262867 355338 430146 434302 454043 525734 651453 788601 908086 1302906 1362129 1577202 1954359 2365803 2724258 3908718 4086387 4731606 4994473 8172774 9988946 14983419 29966838 44950257 89900514