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100421400 = 23352315399
BaseRepresentation
bin1011111110001…
…00111100011000
320222221221021010
411333010330120
5201201441100
613544213520
72326365522
oct577047430
9228857233
10100421400
115175a0a2
122976a2a0
1317a60561
14d4a0a12
158c39750
hex5fc4f18

100421400 has 96 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 25910400.

The previous prime is 100421359. The next prime is 100421407. The reversal of 100421400 is 4124001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421407) 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, 15901 + ... + 21299.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2100421400 is an apocalyptic number.

100421400 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 100421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

100421400 is an abundant number, since it is smaller than the sum of its proper divisors (220986600).

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

100421400 is a wasteful number, since it uses less digits than its factorization.

100421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100421400 is about 10021.0478494018. The cubic root of 100421400 is about 464.8099581843.

Adding to 100421400 its reverse (4124001), we get a palindrome (104545401).

The spelling of 100421400 in words is "one hundred million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 5399 6200 9300 10798 16197 18600 21596 26995 32394 43192 53990 64788 80985 107980 129576 134975 161970 167369 215960 269950 323940 334738 404925 502107 539900 647880 669476 809850 836845 1004214 1079800 1338952 1619700 1673690 2008428 2510535 3239400 3347380 4016856 4184225 5021070 6694760 8368450 10042140 12552675 16736900 20084280 25105350 33473800 50210700 100421400