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90990108 = 223311191401
BaseRepresentation
bin1010110110001…
…10011000011100
320100012202222000
411123012120130
5141243140413
613010122300
72153255166
oct533063034
9210182860
1090990108
11473a8240
1226580390
1315b0a801
14c127936
157ec5073
hex56c661c

90990108 has 96 divisors (see below), whose sum is σ = 259338240. Its totient is φ = 27360000.

The previous prime is 90990091. The next prime is 90990113. The reversal of 90990108 is 80109909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 226708 + ... + 227108.

It is an arithmetic number, because the mean of its divisors is an integer number (2701440).

Almost surely, 290990108 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 90990108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129669120).

90990108 is an abundant number, since it is smaller than the sum of its proper divisors (168348132).

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

90990108 is a wasteful number, since it uses less digits than its factorization.

90990108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 90990108 is about 9538.8735183983. The cubic root of 90990108 is about 449.7778459015. Note that the first 3 decimals are identical.

The spelling of 90990108 in words is "ninety million, nine hundred ninety thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 191 198 297 382 396 401 573 594 764 802 1146 1188 1203 1604 1719 2101 2292 2406 3438 3609 4202 4411 4812 5157 6303 6876 7218 8404 8822 10314 10827 12606 13233 14436 17644 18909 20628 21654 25212 26466 37818 39699 43308 52932 56727 75636 76591 79398 113454 119097 153182 158796 226908 229773 238194 306364 459546 476388 689319 842501 919092 1378638 1685002 2067957 2527503 2757276 3370004 4135914 5055006 7582509 8271828 10110012 15165018 22747527 30330036 45495054 90990108