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1400424 = 233234359
BaseRepresentation
bin101010101111001101000
32122011000120
411111321220
5324303144
650003240
714621604
oct5257150
92564016
101400424
11877183
12576520
133a056c
14286504
151c9e19
hex155e68

1400424 has 64 divisors (see below), whose sum is σ = 3801600. Its totient is φ = 428736.

The previous prime is 1400423. The next prime is 1400449. The reversal of 1400424 is 4240041.

It is a super-2 number, since 2×14004242 = 3922374759552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400423) 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 15 ways as a sum of consecutive naturals, for example, 23707 + ... + 23765.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

21400424 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 1400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900800).

1400424 is an abundant number, since it is smaller than the sum of its proper divisors (2401176).

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

1400424 is a wasteful number, since it uses less digits than its factorization.

1400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1400424 is about 1183.3951157580. The cubic root of 1400424 is about 111.8801864995.

Adding to 1400424 its reverse (4240041), we get a palindrome (5640465).

It can be divided in two parts, 14004 and 24, that added together give a triangular number (14028 = T167).

The spelling of 1400424 in words is "one million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 59 69 86 92 118 129 138 172 177 184 236 258 276 344 354 472 516 552 708 989 1032 1357 1416 1978 2537 2714 2967 3956 4071 5074 5428 5934 7611 7912 8142 10148 10856 11868 15222 16284 20296 23736 30444 32568 58351 60888 116702 175053 233404 350106 466808 700212 1400424