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2030100 = 2235267101
BaseRepresentation
bin111101111101000010100
310211010202220
413233220110
51004430400
6111302340
723153442
oct7575024
93733686
102030100
111167276
1281a9b0
13561057
143abb92
152a17a0
hex1efa14

2030100 has 72 divisors (see below), whose sum is σ = 6020448. Its totient is φ = 528000.

The previous prime is 2030099. The next prime is 2030101. The reversal of 2030100 is 10302.

It is an interprime number because it is at equal distance from previous prime (2030099) and next prime (2030101).

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 not an unprimeable number, because it can be changed into a prime (2030101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20050 + ... + 20150.

22030100 is an apocalyptic number.

2030100 is a gapful number since it is divisible by the number (20) 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 2030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010224).

2030100 is an abundant number, since it is smaller than the sum of its proper divisors (3990348).

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

2030100 is a wasteful number, since it uses less digits than its factorization.

2030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

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

The square root of 2030100 is about 1424.8157775656. The cubic root of 2030100 is about 126.6210207952.

Adding to 2030100 its reverse (10302), we get a palindrome (2040402).

The spelling of 2030100 in words is "two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 101 134 150 201 202 268 300 303 335 402 404 505 606 670 804 1005 1010 1212 1340 1515 1675 2010 2020 2525 3030 3350 4020 5025 5050 6060 6700 6767 7575 10050 10100 13534 15150 20100 20301 27068 30300 33835 40602 67670 81204 101505 135340 169175 203010 338350 406020 507525 676700 1015050 2030100