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1401424320 = 26358811657
BaseRepresentation
bin101001110001000…
…0000100111000000
310121200000201202110
41103202000213000
510332231034240
6351021215320
746504624122
oct12342004700
93550021673
101401424320
1165a08191a
12331401540
13194459b7a
14d41a3212
1583076c80
hex538809c0

1401424320 has 112 divisors (see below), whose sum is σ = 4457261088. Its totient is φ = 373063680.

The previous prime is 1401424303. The next prime is 1401424369. The reversal of 1401424320 is 234241041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844932 + ... + 846588.

It is an arithmetic number, because the mean of its divisors is an integer number (39796974).

Almost surely, 21401424320 is an apocalyptic number.

1401424320 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 1401424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228630544).

1401424320 is an abundant number, since it is smaller than the sum of its proper divisors (3055836768).

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

1401424320 is a wasteful number, since it uses less digits than its factorization.

1401424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1401424320 is about 37435.6023058265. The cubic root of 1401424320 is about 1119.0681875550.

Adding to 1401424320 its reverse (234241041), we get a palindrome (1635665361).

The spelling of 1401424320 in words is "one billion, four hundred one million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 881 960 1657 1762 2643 3314 3524 4405 4971 5286 6628 7048 8285 8810 9942 10572 13215 13256 14096 16570 17620 19884 21144 24855 26430 26512 28192 33140 35240 39768 42288 49710 52860 53024 56384 66280 70480 79536 84576 99420 105720 106048 132560 140960 159072 169152 198840 211440 265120 281920 318144 397680 422880 530240 795360 845760 1459817 1590720 2919634 4379451 5839268 7299085 8758902 11678536 14598170 17517804 21897255 23357072 29196340 35035608 43794510 46714144 58392680 70071216 87589020 93428288 116785360 140142432 175178040 233570720 280284864 350356080 467141440 700712160 1401424320