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9995940 = 22335107173
BaseRepresentation
bin100110001000…
…011010100100
3200210211212000
4212020122210
510024332230
6554125300
7150651453
oct46103244
920724760
109995940
115708109
123420830
1320bca76
141482b9a
15d26b60
hex9886a4

9995940 has 96 divisors (see below), whose sum is σ = 31570560. Its totient is φ = 2625408.

The previous prime is 9995927. The next prime is 9995971. The reversal of 9995940 is 495999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57694 + ... + 57866.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 29995940 is an apocalyptic number.

9995940 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 9995940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15785280).

9995940 is an abundant number, since it is smaller than the sum of its proper divisors (21574620).

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

9995940 is a wasteful number, since it uses less digits than its factorization.

9995940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 9995940 is about 3161.6356526330. The cubic root of 9995940 is about 215.4143083736.

It can be divided in two parts, 99959 and 40, that added together give a palindrome (99999).

The spelling of 9995940 in words is "nine million, nine hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 173 180 214 270 321 346 428 519 535 540 642 692 865 963 1038 1070 1284 1557 1605 1730 1926 2076 2140 2595 2889 3114 3210 3460 3852 4671 4815 5190 5778 6228 6420 7785 9342 9630 10380 11556 14445 15570 18511 18684 19260 23355 28890 31140 37022 46710 55533 57780 74044 92555 93420 111066 166599 185110 222132 277665 333198 370220 499797 555330 666396 832995 999594 1110660 1665990 1999188 2498985 3331980 4997970 9995940