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10020000 = 25354167
BaseRepresentation
bin100110001110…
…010010100000
3200212001212010
4212032102200
510031120000
6554432520
7151111554
oct46162240
920761763
1010020000
1157241a1
123432740
1320ca9c3
14148b864
15d2dd50
hex98e4a0

10020000 has 120 divisors (see below), whose sum is σ = 33064416. Its totient is φ = 2656000.

The previous prime is 10019983. The next prime is 10020013. The reversal of 10020000 is 2001.

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 (3).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59917 + ... + 60083.

Almost surely, 210020000 is an apocalyptic number.

10020000 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 10020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532208).

10020000 is an abundant number, since it is smaller than the sum of its proper divisors (23044416).

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

10020000 is an equidigital number, since it uses as much as digits as its factorization.

10020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 10020000 is about 3165.4383582689. The cubic root of 10020000 is about 215.5870023361.

Adding to 10020000 its reverse (2001), we get a palindrome (10022001).

It can be divided in two parts, 100 and 20000, that added together give a triangular number (20100 = T200).

The spelling of 10020000 in words is "ten million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 167 200 240 250 300 334 375 400 480 500 501 600 625 668 750 800 835 1000 1002 1200 1250 1336 1500 1670 1875 2000 2004 2400 2500 2505 2672 3000 3340 3750 4000 4008 4175 5000 5010 5344 6000 6680 7500 8016 8350 10000 10020 12000 12525 13360 15000 16032 16700 20000 20040 20875 25050 26720 30000 33400 40080 41750 50100 60000 62625 66800 80160 83500 100200 104375 125250 133600 167000 200400 208750 250500 313125 334000 400800 417500 501000 626250 668000 835000 1002000 1252500 1670000 2004000 2505000 3340000 5010000 10020000