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1014464 = 26112131
BaseRepresentation
bin11110111101011000000
31220112120202
43313223000
5224430324
633424332
711423423
oct3675300
91815522
101014464
11633200
1240b0a8
13296999
141c59ba
151508ae
hexf7ac0

1014464 has 42 divisors (see below), whose sum is σ = 2229612. Its totient is φ = 457600.

The previous prime is 1014457. The next prime is 1014469. The reversal of 1014464 is 4644101.

It is a happy number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1014469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7679 + ... + 7809.

It is an arithmetic number, because the mean of its divisors is an integer number (53086).

21014464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114806).

1014464 is an abundant number, since it is smaller than the sum of its proper divisors (1215148).

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

1014464 is a wasteful number, since it uses less digits than its factorization.

1014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1014464 is about 1007.2060365188. The cubic root of 1014464 is about 100.4798273085.

Adding to 1014464 its reverse (4644101), we get a palindrome (5658565).

The spelling of 1014464 in words is "one million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 131 176 242 262 352 484 524 704 968 1048 1441 1936 2096 2882 3872 4192 5764 7744 8384 11528 15851 23056 31702 46112 63404 92224 126808 253616 507232 1014464