Search a number
-
+
90247696 = 247111731139
BaseRepresentation
bin1010110000100…
…01001000010000
320021211001120021
411120101020100
5141100411241
612542153224
72144043550
oct530211020
9207731507
1090247696
1146a40480
1226282814
131590a906
14bdb3160
157dca0d1
hex5611210

90247696 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 31795200.

The previous prime is 90247687. The next prime is 90247741. The reversal of 90247696 is 69674209.

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, 649195 + ... + 649333.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 290247696 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 90247696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

90247696 is an abundant number, since it is smaller than the sum of its proper divisors (149736944).

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

90247696 is a wasteful number, since it uses less digits than its factorization.

90247696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 90247696 is about 9499.8787360682. The cubic root of 90247696 is about 448.5512188241.

The spelling of 90247696 in words is "ninety million, two hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 31 34 44 56 62 68 77 88 112 119 124 136 139 154 176 187 217 238 248 272 278 308 341 374 434 476 496 527 556 616 682 748 868 952 973 1054 1112 1232 1309 1364 1496 1529 1736 1904 1946 2108 2224 2363 2387 2618 2728 2992 3058 3472 3689 3892 4216 4309 4726 4774 5236 5456 5797 6116 7378 7784 8432 8618 9452 9548 10472 10703 11594 12232 14756 15568 16541 17236 18904 19096 20944 21406 23188 24464 25993 29512 30163 33082 34472 37808 38192 40579 42812 46376 47399 51986 59024 60326 66164 68944 73253 81158 85624 92752 94798 103972 120652 132328 146506 162316 171248 181951 189596 207944 241304 264656 293012 324632 331793 363902 379192 415888 482608 512771 586024 649264 663586 727804 758384 805783 1025542 1172048 1327172 1455608 1611566 2051084 2654344 2911216 3223132 4102168 5308688 5640481 6446264 8204336 11280962 12892528 22561924 45123848 90247696