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9925140 = 2235831993
BaseRepresentation
bin100101110111…
…001000010100
3200200020201210
4211313020110
510020101030
6552421420
7150235161
oct45671024
920606653
109925140
1156699a5
1233a7870
132096784
141465068
15d10bb0
hex977214

9925140 has 48 divisors (see below), whose sum is σ = 28139328. Its totient is φ = 2613504.

The previous prime is 9925133. The next prime is 9925147. The reversal of 9925140 is 415299.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9925133) and next prime (9925147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9925098 and 9925107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3984 + ... + 5976.

It is an arithmetic number, because the mean of its divisors is an integer number (586236).

Almost surely, 29925140 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 9925140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069664).

9925140 is an abundant number, since it is smaller than the sum of its proper divisors (18214188).

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

9925140 is a wasteful number, since it uses less digits than its factorization.

9925140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9925140 is about 3150.4190197496. The cubic root of 9925140 is about 214.9045186270.

The spelling of 9925140 in words is "nine million, nine hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 1993 2490 3986 4980 5979 7972 9965 11958 19930 23916 29895 39860 59790 119580 165419 330838 496257 661676 827095 992514 1654190 1985028 2481285 3308380 4962570 9925140