Search a number
-
+
90699264 = 29311
BaseRepresentation
bin1010110011111…
…11011000000000
320022200000000000
411121333120000
5141204334024
613000000000
72150634225
oct531773000
9208600000
1090699264
1147219777
1226460000
1315a38306
14c08d94c
157e68cc9
hex567f600

90699264 has 120 divisors (see below), whose sum is σ = 271831560. Its totient is φ = 30233088.

The previous prime is 90699251. The next prime is 90699311. The reversal of 90699264 is 46299609.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=9, B=6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30233087 + 30233088 + 30233089.

It is an arithmetic number, because the mean of its divisors is an integer number (2265263).

Almost surely, 290699264 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 90699264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135915780).

90699264 is an abundant number, since it is smaller than the sum of its proper divisors (181132296).

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

90699264 is an frugal number, since it uses more digits than its factorization.

90699264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 90699264 is about 9523.6161199410. The cubic root of 90699264 is about 449.2981057792.

The spelling of 90699264 in words is "ninety million, six hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2187 2304 2592 2916 3456 3888 4374 4608 5184 5832 6561 6912 7776 8748 10368 11664 13122 13824 15552 17496 19683 20736 23328 26244 31104 34992 39366 41472 46656 52488 59049 62208 69984 78732 93312 104976 118098 124416 139968 157464 177147 186624 209952 236196 279936 314928 354294 373248 419904 472392 559872 629856 708588 839808 944784 1119744 1259712 1417176 1679616 1889568 2519424 2834352 3359232 3779136 5038848 5668704 7558272 10077696 11337408 15116544 22674816 30233088 45349632 90699264