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10902240 = 2532567113
BaseRepresentation
bin101001100101…
…101011100000
3202111220001200
4221211223200
510242332430
61025401200
7161444646
oct51455340
922456050
1010902240
116177018
123799200
13234943b
14163b196
15e55460
hexa65ae0

10902240 has 144 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 2838528.

The previous prime is 10902239. The next prime is 10902277. The reversal of 10902240 is 4220901.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 96424 + ... + 96536.

It is an arithmetic number, because the mean of its divisors is an integer number (264537).

Almost surely, 210902240 is an apocalyptic number.

10902240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

10902240 is an abundant number, since it is smaller than the sum of its proper divisors (27191088).

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

10902240 is a wasteful number, since it uses less digits than its factorization.

10902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10902240 is about 3301.8540246353. The cubic root of 10902240 is about 221.7372103540.

The spelling of 10902240 in words is "ten million, nine hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 113 120 134 144 160 180 201 226 240 268 288 335 339 360 402 452 480 536 565 603 670 678 720 804 904 1005 1017 1072 1130 1206 1340 1356 1440 1608 1695 1808 2010 2034 2144 2260 2412 2680 2712 3015 3216 3390 3616 4020 4068 4520 4824 5085 5360 5424 6030 6432 6780 7571 8040 8136 9040 9648 10170 10720 10848 12060 13560 15142 16080 16272 18080 19296 20340 22713 24120 27120 30284 32160 32544 37855 40680 45426 48240 54240 60568 68139 75710 81360 90852 96480 113565 121136 136278 151420 162720 181704 227130 242272 272556 302840 340695 363408 454260 545112 605680 681390 726816 908520 1090224 1211360 1362780 1817040 2180448 2725560 3634080 5451120 10902240