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1429968 = 243313
BaseRepresentation
bin101011101000111010000
32200122112210
411131013100
5331224333
650352120
715104001
oct5350720
92618483
101429968
118973a1
1258b640
133b0b47
142931a8
151d3a63
hex15d1d0

1429968 has 40 divisors (see below), whose sum is σ = 3817216. Its totient is φ = 461280.

The previous prime is 1429951. The next prime is 1429969. The reversal of 1429968 is 8699241.

Its product of digits (31104) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46113 + ... + 46143.

21429968 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 1429968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908608).

1429968 is an abundant number, since it is smaller than the sum of its proper divisors (2387248).

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

1429968 is an frugal number, since it uses more digits than its factorization.

1429968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 1429968 is about 1195.8126943631. The cubic root of 1429968 is about 112.6614767556.

The spelling of 1429968 in words is "one million, four hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 11532 15376 23064 29791 46128 59582 89373 119164 178746 238328 357492 476656 714984 1429968