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105026420 = 22541263487
BaseRepresentation
bin1100100001010…
…01001101110100
321022121220011102
412100221031310
5203341321140
614231025232
72413465322
oct620511564
9238556142
10105026420
11543149a4
122b20b218
13189b3615
14dd3cd12
159348e15
hex6429374

105026420 has 48 divisors (see below), whose sum is σ = 227259648. Its totient is φ = 40746240.

The previous prime is 105026417. The next prime is 105026423. The reversal of 105026420 is 24620501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105026417) and next prime (105026423).

It is a super-2 number, since 2×1050264202 = 22061097796032800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105026392 and 105026401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105026423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215417 + ... + 215903.

It is an arithmetic number, because the mean of its divisors is an integer number (4734576).

Almost surely, 2105026420 is an apocalyptic number.

105026420 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 105026420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113629824).

105026420 is an abundant number, since it is smaller than the sum of its proper divisors (122233228).

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

105026420 is a wasteful number, since it uses less digits than its factorization.

105026420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105026420 is about 10248.2398488716. The cubic root of 105026420 is about 471.8089634356.

Adding to 105026420 its reverse (24620501), we get a palindrome (129646921).

The spelling of 105026420 in words is "one hundred five million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 263 410 487 526 820 974 1052 1315 1948 2435 2630 4870 5260 9740 10783 19967 21566 39934 43132 53915 79868 99835 107830 128081 199670 215660 256162 399340 512324 640405 1280810 2561620 5251321 10502642 21005284 26256605 52513210 105026420