Search a number
-
+
10427400 = 2333521931
BaseRepresentation
bin100111110001…
…110000001000
3201121202201000
4213301300020
510132134100
61011255000
7154426404
oct47616010
921552630
1010427400
115982295
1235aa460
132211279
141556104
15dae900
hex9f1c08

10427400 has 96 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 2779200.

The previous prime is 10427399. The next prime is 10427419. The reversal of 10427400 is 472401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4435 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 210427400 is an apocalyptic number.

10427400 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 10427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

10427400 is an abundant number, since it is smaller than the sum of its proper divisors (25507800).

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

10427400 is a wasteful number, since it uses less digits than its factorization.

10427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10427400 is about 3229.1484945725. The cubic root of 10427400 is about 218.4701018775.

Adding to 10427400 its reverse (472401), we get a palindrome (10899801).

The spelling of 10427400 in words is "ten million, four hundred twenty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 1931 2700 3862 5400 5793 7724 9655 11586 15448 17379 19310 23172 28965 34758 38620 46344 48275 52137 57930 69516 77240 86895 96550 104274 115860 139032 144825 173790 193100 208548 231720 260685 289650 347580 386200 417096 434475 521370 579300 695160 868950 1042740 1158600 1303425 1737900 2085480 2606850 3475800 5213700 10427400