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9006140 = 22511134767
BaseRepresentation
bin100010010110…
…110000111100
3121221120002202
4202112300330
54301144030
6521011032
7136356653
oct42266074
917846082
109006140
1150a14a0
123023a78
131b343a0
1412a619a
15bcd745
hex896c3c

9006140 has 96 divisors (see below), whose sum is σ = 23030784. Its totient is φ = 2914560.

The previous prime is 9006139. The next prime is 9006157. The reversal of 9006140 is 416009.

9006140 = T169 + T170 + ... + T388.

It is a super-2 number, since 2×90061402 = 162221115399200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134387 + ... + 134453.

It is an arithmetic number, because the mean of its divisors is an integer number (239904).

Almost surely, 29006140 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 9006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392).

9006140 is an abundant number, since it is smaller than the sum of its proper divisors (14024644).

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

9006140 is a wasteful number, since it uses less digits than its factorization.

9006140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 9006140 is about 3001.0231588577. The cubic root of 9006140 is about 208.0556741992.

The spelling of 9006140 in words is "nine million, six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 67 94 110 130 134 143 188 220 235 260 268 286 335 470 517 572 611 670 715 737 871 940 1034 1222 1340 1430 1474 1742 2068 2444 2585 2860 2948 3055 3149 3484 3685 4355 5170 6110 6298 6721 7370 8710 9581 10340 12220 12596 13442 14740 15745 17420 19162 26884 31490 33605 34639 38324 40937 47905 62980 67210 69278 81874 95810 134420 138556 163748 173195 191620 204685 346390 409370 450307 692780 818740 900614 1801228 2251535 4503070 9006140