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10252500 = 223541367
BaseRepresentation
bin100111000111…
…000011010100
3201021212210020
4213013003110
510111040000
61003425140
7153100446
oct47070324
921255706
1010252500
115872945
1235251b0
13217c78b
14150c496
15d77ba0
hex9c70d4

10252500 has 60 divisors (see below), whose sum is σ = 29915424. Its totient is φ = 2732000.

The previous prime is 10252493. The next prime is 10252507. The reversal of 10252500 is 525201.

It is an interprime number because it is at equal distance from previous prime (10252493) and next prime (10252507).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×102525002 = 210227512500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10252500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252507) 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 19 ways as a sum of consecutive naturals, for example, 6817 + ... + 8183.

Almost surely, 210252500 is an apocalyptic number.

10252500 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 10252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957712).

10252500 is an abundant number, since it is smaller than the sum of its proper divisors (19662924).

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

10252500 is a wasteful number, since it uses less digits than its factorization.

10252500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 10252500 is about 3201.9525293171. The cubic root of 10252500 is about 217.2417333467.

Adding to 10252500 its reverse (525201), we get a palindrome (10777701).

The spelling of 10252500 in words is "ten million, two hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1367 1500 1875 2500 2734 3750 4101 5468 6835 7500 8202 13670 16404 20505 27340 34175 41010 68350 82020 102525 136700 170875 205050 341750 410100 512625 683500 854375 1025250 1708750 2050500 2563125 3417500 5126250 10252500