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90858740 = 225722329139
BaseRepresentation
bin1010110101001…
…10010011110100
320022222002202112
411122212103310
5141224434430
613003230152
72152200200
oct532462364
9208862675
1090858740
1147318575
1226518358
1315a92a8b
14c0d1b00
157e9b195
hex56a64f4

90858740 has 144 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 28562688.

The previous prime is 90858739. The next prime is 90858749. The reversal of 90858740 is 4785809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90858749) 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, 653591 + ... + 653729.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 290858740 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 90858740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

90858740 is an abundant number, since it is smaller than the sum of its proper divisors (150456460).

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

90858740 is a wasteful number, since it uses less digits than its factorization.

90858740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 90858740 is about 9531.9851027999. The cubic root of 90858740 is about 449.5612843589.

The spelling of 90858740 in words is "ninety million, eight hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 49 58 70 92 98 115 116 139 140 145 161 196 203 230 245 278 290 322 406 460 490 556 580 644 667 695 805 812 973 980 1015 1127 1334 1390 1421 1610 1946 2030 2254 2668 2780 2842 3197 3220 3335 3892 4031 4060 4508 4669 4865 5635 5684 6394 6670 6811 7105 8062 9338 9730 11270 12788 13340 13622 14210 15985 16124 18676 19460 20155 22379 22540 23345 27244 28217 28420 31970 32683 34055 40310 44758 46690 56434 63940 65366 68110 80620 89516 92713 93380 111895 112868 130732 136220 141085 156653 163415 185426 197519 223790 282170 313306 326830 370852 395038 447580 463565 564340 626612 648991 653660 783265 790076 927130 987595 1297982 1566530 1854260 1975190 2595964 3133060 3244955 3950380 4542937 6489910 9085874 12979820 18171748 22714685 45429370 90858740