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10050000 = 2435567
BaseRepresentation
bin100110010101…
…100111010000
3200220121000020
4212111213100
510033100000
6555223440
7151265202
oct46254720
920817006
1010050000
115744794
123447b80
13210b55c
141498772
15d37ba0
hex9959d0

10050000 has 120 divisors (see below), whose sum is σ = 32935392. Its totient is φ = 2640000.

The previous prime is 10049999. The next prime is 10050013. The reversal of 10050000 is 5001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149967 + ... + 150033.

Almost surely, 210050000 is an apocalyptic number.

10050000 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 10050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467696).

10050000 is an abundant number, since it is smaller than the sum of its proper divisors (22885392).

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

10050000 is an frugal number, since it uses more digits than its factorization.

10050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 10050000 is about 3170.1734968295. The cubic root of 10050000 is about 215.8019446543.

Adding to 10050000 its reverse (5001), we get a palindrome (10055001).

The spelling of 10050000 in words is "ten million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 125 134 150 200 201 240 250 268 300 335 375 400 402 500 536 600 625 670 750 804 1000 1005 1072 1200 1250 1340 1500 1608 1675 1875 2000 2010 2500 2680 3000 3125 3216 3350 3750 4020 5000 5025 5360 6000 6250 6700 7500 8040 8375 9375 10000 10050 12500 13400 15000 16080 16750 18750 20100 25000 25125 26800 30000 33500 37500 40200 41875 50000 50250 67000 75000 80400 83750 100500 125625 134000 150000 167500 201000 209375 251250 335000 402000 418750 502500 628125 670000 837500 1005000 1256250 1675000 2010000 2512500 3350000 5025000 10050000