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920103210 = 2325131575009
BaseRepresentation
bin110110110101111…
…010100100101010
32101010100002022200
4312311322210222
53341021300320
6231145001030
731541514435
oct6665724452
92333302280
10920103210
11432413184
12218183176
13118814a90
148a2b081c
1555b9d290
hex36d7a92a

920103210 has 96 divisors (see below), whose sum is σ = 2593216080. Its totient is φ = 224999424.

The previous prime is 920103203. The next prime is 920103211. The reversal of 920103210 is 12301029.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 138509361 + 781593849 = 11769^2 + 27957^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (920103211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181186 + ... + 186194.

Almost surely, 2920103210 is an apocalyptic number.

920103210 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296608040).

920103210 is an abundant number, since it is smaller than the sum of its proper divisors (1673112870).

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

920103210 is a wasteful number, since it uses less digits than its factorization.

920103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 920103210 is about 30333.2030949585. The cubic root of 920103210 is about 972.6251947476.

Adding to 920103210 its reverse (12301029), we get a palindrome (932404239).

The spelling of 920103210 in words is "nine hundred twenty million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 157 195 234 314 390 471 585 785 942 1170 1413 1570 2041 2355 2826 4082 4710 5009 6123 7065 10018 10205 12246 14130 15027 18369 20410 25045 30054 30615 36738 45081 50090 61230 65117 75135 90162 91845 130234 150270 183690 195351 225405 325585 390702 450810 586053 651170 786413 976755 1172106 1572826 1953510 2359239 2930265 3932065 4718478 5860530 7077717 7864130 10223369 11796195 14155434 20446738 23592390 30670107 35388585 51116845 61340214 70777170 92010321 102233690 153350535 184020642 306701070 460051605 920103210