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1401480 = 2332517229
BaseRepresentation
bin101010110001010001000
32122012110200
411112022020
5324321410
650012200
714624643
oct5261210
92565420
101401480
11877a53
12577060
133a0ba2
14286a5a
151ca3c0
hex156288

1401480 has 96 divisors (see below), whose sum is σ = 4843800. Its totient is φ = 350208.

The previous prime is 1401461. The next prime is 1401481. The reversal of 1401480 is 841041.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 4356 = 1182^2 + 66^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1401481) 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, 6006 + ... + 6234.

21401480 is an apocalyptic number.

1401480 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 1401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421900).

1401480 is an abundant number, since it is smaller than the sum of its proper divisors (3442320).

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

1401480 is a wasteful number, since it uses less digits than its factorization.

1401480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1401480 is about 1183.8412055677. The cubic root of 1401480 is about 111.9083007928.

It can be divided in two parts, 1401 and 480, that added together give a palindrome (1881).

The spelling of 1401480 in words is "one million, four hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 229 255 306 340 360 408 458 510 612 680 687 765 916 1020 1145 1224 1374 1530 1832 2040 2061 2290 2748 3060 3435 3893 4122 4580 5496 6120 6870 7786 8244 9160 10305 11679 13740 15572 16488 19465 20610 23358 27480 31144 35037 38930 41220 46716 58395 70074 77860 82440 93432 116790 140148 155720 175185 233580 280296 350370 467160 700740 1401480