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90969060 = 223571316661
BaseRepresentation
bin1010110110000…
…01001111100100
320100011201002110
411123001033210
5141242002220
613005441020
72153136630
oct533011744
9210151073
1090969060
1147393446
1226570170
1315b01060
14c11ddc0
157ebdbe0
hex56c13e4

90969060 has 96 divisors (see below), whose sum is σ = 313512192. Its totient is φ = 19192320.

The previous prime is 90969031. The next prime is 90969077. The reversal of 90969060 is 6096909.

It is a super-3 number, since 3×909690603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2871 + ... + 13790.

It is an arithmetic number, because the mean of its divisors is an integer number (3265752).

Almost surely, 290969060 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 90969060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156756096).

90969060 is an abundant number, since it is smaller than the sum of its proper divisors (222543132).

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

90969060 is a wasteful number, since it uses less digits than its factorization.

90969060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16693 (or 16691 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 90969060 is about 9537.7701796594. The cubic root of 90969060 is about 449.7431620794.

The spelling of 90969060 in words is "ninety million, nine hundred sixty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 16661 33322 49983 66644 83305 99966 116627 166610 199932 216593 233254 249915 333220 349881 433186 466508 499830 583135 649779 699762 866372 999660 1082965 1166270 1299558 1399524 1516151 1749405 2165930 2332540 2599116 3032302 3248895 3498810 4331860 4548453 6064604 6497790 6997620 7580755 9096906 12995580 15161510 18193812 22742265 30323020 45484530 90969060