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9102420 = 2232561829
BaseRepresentation
bin100010101110…
…010001010100
3122010110011200
4202232101110
54312234140
6523032500
7140240445
oct42562124
918113150
109102420
115157868
12306b730
131b69162
1412cd2cc
15bec030
hex8ae454

9102420 has 72 divisors (see below), whose sum is σ = 28097160. Its totient is φ = 2384640.

The previous prime is 9102403. The next prime is 9102421. The reversal of 9102420 is 242019.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 9072144 = 174^2 + 3012^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9102393 and 9102402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9102421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10566 + ... + 11394.

Almost surely, 29102420 is an apocalyptic number.

9102420 is a gapful number since it is divisible by the number (90) 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 9102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048580).

9102420 is an abundant number, since it is smaller than the sum of its proper divisors (18994740).

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

9102420 is a wasteful number, since it uses less digits than its factorization.

9102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 900 counting only the distinct ones).

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

The square root of 9102420 is about 3017.0217102301. The cubic root of 9102420 is about 208.7944531049.

Adding to 9102420 its reverse (242019), we get a palindrome (9344439).

The spelling of 9102420 in words is "nine million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 829 915 1098 1220 1658 1830 2196 2487 2745 3316 3660 4145 4974 5490 7461 8290 9948 10980 12435 14922 16580 24870 29844 37305 49740 50569 74610 101138 149220 151707 202276 252845 303414 455121 505690 606828 758535 910242 1011380 1517070 1820484 2275605 3034140 4551210 9102420