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1401120 = 253257139
BaseRepresentation
bin101010110000100100000
32122011222100
411112010200
5324313440
650010400
714623620
oct5260440
92564870
101401120
11877756
12576a00
133a0986
14286880
151ca230
hex156120

1401120 has 144 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 317952.

The previous prime is 1401119. The next prime is 1401131. The reversal of 1401120 is 211041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10011 + ... + 10149.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

21401120 is an apocalyptic number.

1401120 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 1401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

1401120 is an abundant number, since it is smaller than the sum of its proper divisors (4102560).

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

1401120 is a wasteful number, since it uses less digits than its factorization.

1401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1401120 is about 1183.6891483831. The cubic root of 1401120 is about 111.8987179617.

Adding to 1401120 its reverse (211041), we get a palindrome (1612161).

It can be divided in two parts, 1401 and 120, that added together give a square (1521 = 392).

The spelling of 1401120 in words is "one million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 139 140 144 160 168 180 210 224 240 252 278 280 288 315 336 360 417 420 480 504 556 560 630 672 695 720 834 840 973 1008 1112 1120 1251 1260 1390 1440 1668 1680 1946 2016 2085 2224 2502 2520 2780 2919 3336 3360 3892 4170 4448 4865 5004 5040 5560 5838 6255 6672 7784 8340 8757 9730 10008 10080 11120 11676 12510 13344 14595 15568 16680 17514 19460 20016 22240 23352 25020 29190 31136 33360 35028 38920 40032 43785 46704 50040 58380 66720 70056 77840 87570 93408 100080 116760 140112 155680 175140 200160 233520 280224 350280 467040 700560 1401120