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90306684 = 223313131491
BaseRepresentation
bin1010110000111…
…11100001111100
320021221001111000
411120133201330
5141104303214
612543330300
72144410536
oct530374174
9207831430
1090306684
1146a80826
12262b0990
131592b710
14bdca856
157ddc809
hex561f87c

90306684 has 96 divisors (see below), whose sum is σ = 254580480. Its totient is φ = 27518400.

The previous prime is 90306679. The next prime is 90306691. The reversal of 90306684 is 48660309.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 183679 + ... + 184169.

It is an arithmetic number, because the mean of its divisors is an integer number (2651880).

Almost surely, 290306684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90306684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127290240).

90306684 is an abundant number, since it is smaller than the sum of its proper divisors (164273796).

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

90306684 is a wasteful number, since it uses less digits than its factorization.

90306684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90306684 is about 9502.9829001214. The cubic root of 90306684 is about 448.6489253872.

The spelling of 90306684 in words is "ninety million, three hundred six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 131 156 234 262 351 393 468 491 524 702 786 982 1179 1404 1473 1572 1703 1964 2358 2946 3406 3537 4419 4716 5109 5892 6383 6812 7074 8838 10218 12766 13257 14148 15327 17676 19149 20436 25532 26514 30654 38298 45981 53028 57447 61308 64321 76596 91962 114894 128642 172341 183924 192963 229788 257284 344682 385926 578889 689364 771852 836173 1157778 1672346 1736667 2315556 2508519 3344692 3473334 5017038 6946668 7525557 10034076 15051114 22576671 30102228 45153342 90306684