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90660570 = 235711133019
BaseRepresentation
bin1010110011101…
…01111011011010
320022121000220220
411121311323122
5141202114240
612555100510
72150413350
oct531657332
9208530826
1090660570
11471a26a0
1226441736
1315a23810
14c07d7d0
157e5c5d0
hex5675eda

90660570 has 128 divisors (see below), whose sum is σ = 292239360. Its totient is φ = 17383680.

The previous prime is 90660491. The next prime is 90660593. The reversal of 90660570 is 7506609.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28521 + ... + 31539.

It is an arithmetic number, because the mean of its divisors is an integer number (2283120).

Almost surely, 290660570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90660570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146119680).

90660570 is an abundant number, since it is smaller than the sum of its proper divisors (201578790).

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

90660570 is a wasteful number, since it uses less digits than its factorization.

90660570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 90660570 is about 9521.5844269743. The cubic root of 90660570 is about 449.2342037033.

The spelling of 90660570 in words is "ninety million, six hundred sixty thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 3019 4290 5005 6006 6038 9057 10010 15015 15095 18114 21133 30030 30190 33209 39247 42266 45285 63399 66418 78494 90570 99627 105665 117741 126798 166045 196235 199254 211330 232463 235482 274729 316995 332090 392470 431717 464926 498135 549458 588705 633990 697389 824187 863434 996270 1162315 1177410 1295151 1373645 1394778 1648374 2158585 2324630 2590302 2747290 3022019 3486945 4120935 4317170 6044038 6475755 6973890 8241870 9066057 12951510 15110095 18132114 30220190 45330285 90660570