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1401216 = 2734189
BaseRepresentation
bin101010110000110000000
32122012002220
411112012000
5324314331
650011040
714624115
oct5260600
92565086
101401216
11877833
12576a80
133a0a2b
1428690c
151ca296
hex156180

1401216 has 64 divisors (see below), whose sum is σ = 3855600. Its totient is φ = 450560.

The previous prime is 1401203. The next prime is 1401217. The reversal of 1401216 is 6121041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1401195 and 1401204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15700 + ... + 15788.

21401216 is an apocalyptic number.

1401216 is a gapful number since it is divisible by the number (16) 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 1401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927800).

1401216 is an abundant number, since it is smaller than the sum of its proper divisors (2454384).

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

1401216 is an equidigital number, since it uses as much as digits as its factorization.

1401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1401216 is about 1183.7296988755. The cubic root of 1401216 is about 111.9012735438.

1401216 divided by its product of nonzero digits (48) gives a palindrome (29192).

Adding to 1401216 its reverse (6121041), we get a palindrome (7522257).

It can be divided in two parts, 14012 and 16, that added together give a triangular number (14028 = T167).

The spelling of 1401216 in words is "one million, four hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 89 96 123 128 164 178 192 246 267 328 356 384 492 534 656 712 984 1068 1312 1424 1968 2136 2624 2848 3649 3936 4272 5248 5696 7298 7872 8544 10947 11392 14596 15744 17088 21894 29192 34176 43788 58384 87576 116768 175152 233536 350304 467072 700608 1401216