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10312120 = 2357132833
BaseRepresentation
bin100111010101…
…100110111000
3201101220120101
4213111212320
510114441440
61005005144
7153436330
oct47254670
921356511
1010312120
115903715
1235537b4
1321a0960
1415260c0
15d8a69a
hex9d59b8

10312120 has 64 divisors (see below), whose sum is σ = 28566720. Its totient is φ = 3262464.

The previous prime is 10312091. The next prime is 10312121. The reversal of 10312120 is 2121301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10312097 and 10312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2224 + ... + 5056.

It is an arithmetic number, because the mean of its divisors is an integer number (446355).

Almost surely, 210312120 is an apocalyptic number.

10312120 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 10312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283360).

10312120 is an abundant number, since it is smaller than the sum of its proper divisors (18254600).

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

10312120 is a wasteful number, since it uses less digits than its factorization.

10312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10312120 is about 3211.2489782015. The cubic root of 10312120 is about 217.6620187085.

Adding to 10312120 its reverse (2121301), we get a palindrome (12433421).

The spelling of 10312120 in words is "ten million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 2833 3640 5666 11332 14165 19831 22664 28330 36829 39662 56660 73658 79324 99155 113320 147316 158648 184145 198310 257803 294632 368290 396620 515606 736580 793240 1031212 1289015 1473160 2062424 2578030 5156060 10312120