Search a number
-
+
90320760 = 23325892819
BaseRepresentation
bin1010110001000…
…10111101111000
320021221202210100
411120202331320
5141110231020
612543515400
72144466555
oct530427570
9207852710
1090320760
1146a90362
12262b8b60
1315934c4a
14bdd1a2c
157de1a90
hex5622f78

90320760 has 96 divisors (see below), whose sum is σ = 296946000. Its totient is φ = 23806464.

The previous prime is 90320759. The next prime is 90320771. The reversal of 90320760 is 6702309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30631 + ... + 33449.

Almost surely, 290320760 is an apocalyptic number.

90320760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90320760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148473000).

90320760 is an abundant number, since it is smaller than the sum of its proper divisors (206625240).

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

90320760 is a wasteful number, since it uses less digits than its factorization.

90320760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 90320760 is about 9503.7234808258. The cubic root of 90320760 is about 448.6722343086.

The spelling of 90320760 in words is "ninety million, three hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 2819 3204 3560 4005 5340 5638 6408 8010 8457 10680 11276 14095 16020 16914 22552 25371 28190 32040 33828 42285 50742 56380 67656 84570 101484 112760 126855 169140 202968 250891 253710 338280 501782 507420 752673 1003564 1014840 1254455 1505346 2007128 2258019 2508910 3010692 3763365 4516038 5017820 6021384 7526730 9032076 10035640 11290095 15053460 18064152 22580190 30106920 45160380 90320760