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10312500 = 2235711
BaseRepresentation
bin100111010101…
…101100110100
3201101221002110
4213111230310
510120000000
61005011020
7153440412
oct47255464
921357073
1010312500
115903a30
123553a70
1321a0b93
1415262b2
15d8a850
hex9d5b34

10312500 has 96 divisors (see below), whose sum is σ = 32812416. Its totient is φ = 2500000.

The previous prime is 10312483. The next prime is 10312507. The reversal of 10312500 is 521301.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312507) 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 31 ways as a sum of consecutive naturals, for example, 937495 + ... + 937505.

It is an arithmetic number, because the mean of its divisors is an integer number (341796).

Almost surely, 210312500 is an apocalyptic number.

10312500 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 10312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406208).

10312500 is an abundant number, since it is smaller than the sum of its proper divisors (22499916).

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

10312500 is an frugal number, since it uses more digits than its factorization.

10312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10312500 is about 3211.3081446663. The cubic root of 10312500 is about 217.6646922793.

Adding to 10312500 its reverse (521301), we get a palindrome (10833801).

The spelling of 10312500 in words is "ten million, three hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 625 660 750 825 1100 1250 1375 1500 1650 1875 2500 2750 3125 3300 3750 4125 5500 6250 6875 7500 8250 9375 12500 13750 15625 16500 18750 20625 27500 31250 34375 37500 41250 46875 62500 68750 78125 82500 93750 103125 137500 156250 171875 187500 206250 234375 312500 343750 412500 468750 515625 687500 859375 937500 1031250 1718750 2062500 2578125 3437500 5156250 10312500