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1401014720 = 26575311801
BaseRepresentation
bin101001110000001…
…1100100111000000
310121122020220220002
41103200130213000
510332124432340
6351004335132
746501300010
oct12340344700
93548226802
101401014720
11659922106
123312444a8
131943455c1
14d40d7c40
1582ee5715
hex5381c9c0

1401014720 has 112 divisors (see below), whose sum is σ = 3885029568. Its totient is φ = 471244800.

The previous prime is 1401014711. The next prime is 1401014729. The reversal of 1401014720 is 274101041.

It is an interprime number because it is at equal distance from previous prime (1401014711) and next prime (1401014729).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 1401014692 and 1401014701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401014729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112820 + ... + 124620.

It is an arithmetic number, because the mean of its divisors is an integer number (34687764).

Almost surely, 21401014720 is an apocalyptic number.

1401014720 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 1401014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942514784).

1401014720 is an abundant number, since it is smaller than the sum of its proper divisors (2484014848).

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

1401014720 is a wasteful number, since it uses less digits than its factorization.

1401014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1401014720 is about 37430.1311779694. The cubic root of 1401014720 is about 1118.9591520576.

Adding to 1401014720 its reverse (274101041), we get a palindrome (1675115761).

The spelling of 1401014720 in words is "one billion, four hundred one million, fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 140 160 212 224 265 280 320 371 424 448 530 560 742 848 1060 1120 1484 1696 1855 2120 2240 2968 3392 3710 4240 5936 7420 8480 11801 11872 14840 16960 23602 23744 29680 47204 59005 59360 82607 94408 118010 118720 165214 188816 236020 330428 377632 413035 472040 625453 660856 755264 826070 944080 1250906 1321712 1652140 1888160 2501812 2643424 3127265 3304280 3776320 4378171 5003624 5286848 6254530 6608560 8756342 10007248 12509060 13217120 17512684 20014496 21890855 25018120 26434240 35025368 40028992 43781710 50036240 70050736 87563420 100072480 140101472 175126840 200144960 280202944 350253680 700507360 1401014720