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90432780 = 223519233449
BaseRepresentation
bin1010110001111…
…10010100001100
320022011110110020
411120332110030
5141122322110
612550142140
72145444264
oct530762414
9208143406
1090432780
1147057539
1226351950
1315973c29
14c0207a4
157e14d70
hex563e50c

90432780 has 96 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 21846528.

The previous prime is 90432767. The next prime is 90432833. The reversal of 90432780 is 8723409.

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 31 ways as a sum of consecutive naturals, for example, 24496 + ... + 27944.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 290432780 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 90432780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

90432780 is an abundant number, since it is smaller than the sum of its proper divisors (187775220).

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

90432780 is a wasteful number, since it uses less digits than its factorization.

90432780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 90432780 is about 9509.6151341682. The cubic root of 90432780 is about 448.8576457231.

The spelling of 90432780 in words is "ninety million, four hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 3449 4370 5244 6555 6898 8740 10347 13110 13796 17245 20694 26220 34490 41388 51735 65531 68980 79327 103470 131062 158654 196593 206940 237981 262124 317308 327655 393186 396635 475962 655310 786372 793270 951924 982965 1189905 1310620 1507213 1586540 1965930 2379810 3014426 3931860 4521639 4759620 6028852 7536065 9043278 15072130 18086556 22608195 30144260 45216390 90432780