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10421400 = 23352111579
BaseRepresentation
bin100111110000…
…010010011000
3201121110110210
4213300102120
510131441100
61011211120
7154403043
oct47602230
921543423
1010421400
115978830
1235a6aa0
13220b612
141553c5a
15dacc50
hex9f0498

10421400 has 96 divisors (see below), whose sum is σ = 35265600. Its totient is φ = 2524800.

The previous prime is 10421393. The next prime is 10421401. The reversal of 10421400 is 412401.

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 (10421401) 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, 5811 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (367350).

Almost surely, 210421400 is an apocalyptic number.

10421400 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 10421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632800).

10421400 is an abundant number, since it is smaller than the sum of its proper divisors (24844200).

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

10421400 is a wasteful number, since it uses less digits than its factorization.

10421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1600 counting only the distinct ones).

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

The square root of 10421400 is about 3228.2193234042. The cubic root of 10421400 is about 218.4281907552.

Adding to 10421400 its reverse (412401), we get a palindrome (10833801).

It can be divided in two parts, 1042 and 1400, that added together give a palindrome (2442).

The spelling of 10421400 in words is "ten million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1579 1650 2200 3158 3300 4737 6316 6600 7895 9474 12632 15790 17369 18948 23685 31580 34738 37896 39475 47370 52107 63160 69476 78950 86845 94740 104214 118425 138952 157900 173690 189480 208428 236850 260535 315800 347380 416856 434225 473700 521070 694760 868450 947400 1042140 1302675 1736900 2084280 2605350 3473800 5210700 10421400