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90150102 = 23272432377
BaseRepresentation
bin1010101111110…
…01010011010110
320021122002200200
411113321103112
5141034300402
612540121330
72143156200
oct527712326
9207562620
1090150102
1146984119
1226236246
13158a5373
14bd89770
157dab21c
hex55f94d6

90150102 has 72 divisors (see below), whose sum is σ = 232596936. Its totient is φ = 25147584.

The previous prime is 90150101. The next prime is 90150113. The reversal of 90150102 is 20105109.

It is a super-2 number, since 2×901501022 = 16254081781220808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90150101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36738 + ... + 39114.

It is an arithmetic number, because the mean of its divisors is an integer number (3230513).

Almost surely, 290150102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90150102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116298468).

90150102 is an abundant number, since it is smaller than the sum of its proper divisors (142446834).

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

90150102 is a wasteful number, since it uses less digits than its factorization.

90150102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 90150102 is about 9494.7407547547. The cubic root of 90150102 is about 448.3894725086.

The spelling of 90150102 in words is "ninety million, one hundred fifty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 387 441 602 774 882 903 1806 2107 2377 2709 4214 4754 5418 6321 7131 12642 14262 16639 18963 21393 33278 37926 42786 49917 99834 102211 116473 149751 204422 232946 299502 306633 349419 613266 698838 715477 919899 1048257 1430954 1839798 2096514 2146431 4292862 5008339 6439293 10016678 12878586 15025017 30050034 45075051 90150102