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1400014720 = 27513191881
BaseRepresentation
bin101001101110010…
…1000011110000000
310121120101010011001
41103130220132000
510331400432340
6350531101344
746456633366
oct12334503600
93546333131
101400014720
116592a9865
12330a41854
131940853a0
14d3d17636
1582d9929a
hex53728780

1400014720 has 128 divisors (see below), whose sum is σ = 3627348480. Its totient is φ = 513638400.

The previous prime is 1400014711. The next prime is 1400014723. The reversal of 1400014720 is 274100041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400014723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588680 + ... + 1589560.

It is an arithmetic number, because the mean of its divisors is an integer number (28338660).

Almost surely, 21400014720 is an apocalyptic number.

1400014720 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 1400014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813674240).

1400014720 is an abundant number, since it is smaller than the sum of its proper divisors (2227333760).

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

1400014720 is a wasteful number, since it uses less digits than its factorization.

1400014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 1400014720 is about 37416.7705714964. The cubic root of 1400014720 is about 1118.6928628060.

Adding to 1400014720 its reverse (274100041), we get a palindrome (1674114761).

The spelling of 1400014720 in words is "one billion, four hundred million, fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 191 208 260 320 382 416 520 640 764 832 881 955 1040 1528 1664 1762 1910 2080 2483 3056 3524 3820 4160 4405 4966 6112 7048 7640 8320 8810 9932 11453 12224 12415 14096 15280 17620 19864 22906 24448 24830 28192 30560 35240 39728 45812 49660 56384 57265 61120 70480 79456 91624 99320 112768 114530 122240 140960 158912 168271 183248 198640 229060 281920 317824 336542 366496 397280 458120 563840 673084 732992 794560 841355 916240 1346168 1465984 1589120 1682710 1832480 2187523 2692336 3365420 3664960 4375046 5384672 6730840 7329920 8750092 10769344 10937615 13461680 17500184 21538688 21875230 26923360 35000368 43750460 53846720 70000736 87500920 107693440 140001472 175001840 280002944 350003680 700007360 1400014720