Search a number
-
+
1075131420 = 2235111628987
BaseRepresentation
bin100000000010101…
…0011010000011100
32202221001100001020
41000011103100130
54200213201140
6254403444140
735433315636
oct10005232034
92687040036
101075131420
1150197a170
12260086650
1314198454c
14a2b07a56
15645c26d0
hex4015341c

1075131420 has 48 divisors (see below), whose sum is σ = 3284039808. Its totient is φ = 260637760.

The previous prime is 1075131383. The next prime is 1075131427. The reversal of 1075131420 is 241315701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075131427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813834 + ... + 815153.

It is an arithmetic number, because the mean of its divisors is an integer number (68417496).

Almost surely, 21075131420 is an apocalyptic number.

1075131420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075131420 is an abundant number, since it is smaller than the sum of its proper divisors (2208908388).

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

1075131420 is a wasteful number, since it uses less digits than its factorization.

1075131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629010 (or 1629008 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1075131420 is about 32789.1966964731. The cubic root of 1075131420 is about 1024.4415502473.

The spelling of 1075131420 in words is "one billion, seventy-five million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1628987 3257974 4886961 6515948 8144935 9773922 16289870 17918857 19547844 24434805 32579740 35837714 48869610 53756571 71675428 89594285 97739220 107513142 179188570 215026284 268782855 358377140 537565710 1075131420