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90088614 = 232711219311
BaseRepresentation
bin1010101111010…
…10010010100110
320021111222100100
411113222102212
5141030313424
612534524530
72142512010
oct527522246
9207458310
1090088614
1146941a00
1226206746
1315883395
14bd711b0
157d97dc9
hex55ea4a6

90088614 has 144 divisors (see below), whose sum is σ = 258935040. Its totient is φ = 22096800.

The previous prime is 90088577. The next prime is 90088637. The reversal of 90088614 is 41688009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289519 + ... + 289829.

It is an arithmetic number, because the mean of its divisors is an integer number (1798160).

Almost surely, 290088614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90088614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129467520).

90088614 is an abundant number, since it is smaller than the sum of its proper divisors (168846426).

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

90088614 is a wasteful number, since it uses less digits than its factorization.

90088614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90088614 is about 9491.5021993360. The cubic root of 90088614 is about 448.2875061143.

The spelling of 90088614 in words is "ninety million, eighty-eight thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 121 126 133 154 171 198 209 231 242 266 311 342 363 399 418 462 622 627 693 726 798 847 933 1089 1197 1254 1386 1463 1694 1866 1881 2177 2178 2299 2394 2541 2799 2926 3421 3762 4354 4389 4598 5082 5598 5909 6531 6842 6897 7623 8778 10263 11818 13062 13167 13794 15246 16093 17727 19593 20526 20691 23947 26334 30789 32186 35454 37631 39186 41363 41382 47894 48279 53181 61578 64999 71841 75262 82726 96558 106362 112893 124089 129998 143682 144837 194997 215523 225786 248178 263417 289674 338679 372267 389994 431046 454993 526834 584991 677358 714989 744534 790251 909986 1169982 1364979 1429978 1580502 2144967 2370753 2729958 4094937 4289934 4741506 5004923 6434901 8189874 10009846 12869802 15014769 30029538 45044307 90088614