Search a number
-
+
1400960 = 27511199
BaseRepresentation
bin101010110000010000000
32122011202102
411112002000
5324312320
650005532
714623301
oct5260200
92564672
101400960
11877620
125768a8
133a0892
142867a8
151ca175
hex156080

1400960 has 64 divisors (see below), whose sum is σ = 3672000. Its totient is φ = 506880.

The previous prime is 1400947. The next prime is 1400989. The reversal of 1400960 is 690041.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6941 + ... + 7139.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

21400960 is an apocalyptic number.

1400960 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 1400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836000).

1400960 is an abundant number, since it is smaller than the sum of its proper divisors (2271040).

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

1400960 is a wasteful number, since it uses less digits than its factorization.

1400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1400960 is about 1183.6215611419. The cubic root of 1400960 is about 111.8944583987.

The spelling of 1400960 in words is "one million, four hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 199 220 320 352 398 440 640 704 796 880 995 1408 1592 1760 1990 2189 3184 3520 3980 4378 6368 7040 7960 8756 10945 12736 15920 17512 21890 25472 31840 35024 43780 63680 70048 87560 127360 140096 175120 280192 350240 700480 1400960