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1429956 = 22321123157
BaseRepresentation
bin101011101000111000100
32200122112100
411131013010
5331224311
650352100
715103653
oct5350704
92618470
101429956
11897390
1258b630
133b0b38
1429319a
151d3a56
hex15d1c4

1429956 has 72 divisors (see below), whose sum is σ = 4140864. Its totient is φ = 411840.

The previous prime is 1429951. The next prime is 1429969. The reversal of 1429956 is 6599241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1429956.

It is not an unprimeable number, because it can be changed into a prime (1429951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9030 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (57512).

21429956 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 1429956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070432).

1429956 is an abundant number, since it is smaller than the sum of its proper divisors (2710908).

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

1429956 is a wasteful number, since it uses less digits than its factorization.

1429956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1429956 is about 1195.8076768444. The cubic root of 1429956 is about 112.6611616107.

The spelling of 1429956 in words is "one million, four hundred twenty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 157 198 207 253 276 314 396 414 471 506 628 759 828 942 1012 1413 1518 1727 1884 2277 2826 3036 3454 3611 4554 5181 5652 6908 7222 9108 10362 10833 14444 15543 20724 21666 31086 32499 39721 43332 62172 64998 79442 119163 129996 158884 238326 357489 476652 714978 1429956