Search a number
-
+
1472900 = 22521113103
BaseRepresentation
bin101100111100110000100
32202211102212
411213212010
5334113100
651322552
715343112
oct5474604
92684385
101472900
11916680
125b0458
133c7550
142a4ab2
151e1635
hex167984

1472900 has 72 divisors (see below), whose sum is σ = 3791424. Its totient is φ = 489600.

The previous prime is 1472893. The next prime is 1472909. The reversal of 1472900 is 92741.

It is not an unprimeable number, because it can be changed into a prime (1472909) 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, 14249 + ... + 14351.

21472900 is an apocalyptic number.

1472900 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 1472900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895712).

1472900 is an abundant number, since it is smaller than the sum of its proper divisors (2318524).

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

1472900 is a wasteful number, since it uses less digits than its factorization.

1472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1472900 is about 1213.6309158884. The cubic root of 1472900 is about 113.7778581689. Note that the first 3 decimals are identical.

The spelling of 1472900 in words is "one million, four hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 103 110 130 143 206 220 260 275 286 325 412 515 550 572 650 715 1030 1100 1133 1300 1339 1430 2060 2266 2575 2678 2860 3575 4532 5150 5356 5665 6695 7150 10300 11330 13390 14300 14729 22660 26780 28325 29458 33475 56650 58916 66950 73645 113300 133900 147290 294580 368225 736450 1472900