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90067698 = 23274767227
BaseRepresentation
bin1010101111001…
…01001011110010
320021110220122200
411113211023302
5141024131243
612534244030
72142364020
oct527451362
9207426580
1090067698
1146928216
12261b6616
13158769c6
14bd67710
157d91ad3
hex55e52f2

90067698 has 96 divisors (see below), whose sum is σ = 232187904. Its totient is φ = 24700896.

The previous prime is 90067697. The next prime is 90067709. The reversal of 90067698 is 89676009.

It is a super-2 number, since 2×900676982 = 16224380446038408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90067697) 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, 396661 + ... + 396887.

It is an arithmetic number, because the mean of its divisors is an integer number (2418624).

Almost surely, 290067698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90067698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116093952).

90067698 is an abundant number, since it is smaller than the sum of its proper divisors (142120206).

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

90067698 is a wasteful number, since it uses less digits than its factorization.

90067698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90067698 is about 9490.4003076793. The cubic root of 90067698 is about 448.2528102492.

The spelling of 90067698 in words is "ninety million, sixty-seven thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 67 94 126 134 141 201 227 282 329 402 423 454 469 603 658 681 846 938 987 1206 1362 1407 1589 1974 2043 2814 2961 3149 3178 4086 4221 4767 5922 6298 8442 9447 9534 10669 14301 15209 18894 21338 22043 28341 28602 30418 32007 44086 45627 56682 64014 66129 74683 91254 96021 106463 132258 136881 149366 192042 198387 212926 224049 273762 319389 396774 448098 638778 672147 714823 958167 1344294 1429646 1916334 2144469 4288938 5003761 6433407 10007522 12866814 15011283 30022566 45033849 90067698