Search a number
-
+
1914972 = 2231937227
BaseRepresentation
bin111010011100001011100
310121021211220
413103201130
5442234342
6105013340
722164003
oct7234134
93537756
101914972
111098824
12784250
13520827
1437bc3a
1527c5ec
hex1d385c

1914972 has 48 divisors (see below), whose sum is σ = 4851840. Its totient is φ = 585792.

The previous prime is 1914971. The next prime is 1915007. The reversal of 1914972 is 2794191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914971) 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, 8323 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (101080).

21914972 is an apocalyptic number.

1914972 is a gapful number since it is divisible by the number (12) 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 1914972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425920).

1914972 is an abundant number, since it is smaller than the sum of its proper divisors (2936868).

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

1914972 is a wasteful number, since it uses less digits than its factorization.

1914972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 1914972 is about 1383.8251334616. The cubic root of 1914972 is about 124.1807111921.

The spelling of 1914972 in words is "one million, nine hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 227 228 444 454 681 703 908 1362 1406 2109 2724 2812 4218 4313 8399 8436 8626 12939 16798 17252 25197 25878 33596 50394 51756 100788 159581 319162 478743 638324 957486 1914972