Search a number
-
+
1429100 = 225231461
BaseRepresentation
bin101011100111001101100
32200121100122
411130321230
5331212400
650344112
715101321
oct5347154
92617318
101429100
11896782
1258b038
133b062a
14292b48
151d3685
hex15ce6c

1429100 has 36 divisors (see below), whose sum is σ = 3208128. Its totient is φ = 552000.

The previous prime is 1429097. The next prime is 1429117. The reversal of 1429100 is 19241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2870 + ... + 3330.

21429100 is an apocalyptic number.

1429100 is a gapful number since it is divisible by the number (10) 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 1429100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604064).

1429100 is an abundant number, since it is smaller than the sum of its proper divisors (1779028).

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

1429100 is a wasteful number, since it uses less digits than its factorization.

1429100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1429100 is about 1195.4497061776. The cubic root of 1429100 is about 112.6386767221.

The spelling of 1429100 in words is "one million, four hundred twenty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 461 620 775 922 1550 1844 2305 3100 4610 9220 11525 14291 23050 28582 46100 57164 71455 142910 285820 357275 714550 1429100