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90275900 = 2252111359107
BaseRepresentation
bin1010110000110…
…00000000111100
320021212111020212
411120120000330
5141102312100
612542531552
72144222021
oct530300074
9207774225
1090275900
1146a5a690
1226296bb8
131591a6c0
14bdbd548
157dd3635
hex561803c

90275900 has 144 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 29510400.

The previous prime is 90275881. The next prime is 90275909. The reversal of 90275900 is 957209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90275909) 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, 843647 + ... + 843753.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 290275900 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 90275900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

90275900 is an abundant number, since it is smaller than the sum of its proper divisors (145958980).

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

90275900 is a wasteful number, since it uses less digits than its factorization.

90275900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 90275900 is about 9501.3630601088. The cubic root of 90275900 is about 448.5979406851.

The spelling of 90275900 in words is "ninety million, two hundred seventy-five thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 59 65 100 107 110 118 130 143 214 220 236 260 275 286 295 325 428 535 550 572 590 649 650 715 767 1070 1100 1177 1180 1298 1300 1391 1430 1475 1534 2140 2354 2596 2675 2782 2860 2950 3068 3245 3575 3835 4708 5350 5564 5885 5900 6313 6490 6955 7150 7670 8437 10700 11770 12626 12980 13910 14300 15301 15340 16225 16874 19175 23540 25252 27820 29425 30602 31565 32450 33748 34775 38350 42185 58850 61204 63130 64900 69443 69550 76505 76700 82069 84370 117700 126260 138886 139100 153010 157825 164138 168740 210925 277772 306020 315650 328276 347215 382525 410345 421850 631300 694430 765050 820690 843700 902759 1388860 1530100 1641380 1736075 1805518 2051725 3472150 3611036 4103450 4513795 6944300 8206900 9027590 18055180 22568975 45137950 90275900