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1328071860 = 2232511096653
BaseRepresentation
bin100111100101000…
…1100010010110100
310102120000001002200
41033022030102310
510204441244420
6335441104500
744624265423
oct11712142264
93376001080
101328071860
11621731055
12310928130
131821b644b
14c854b2ba
157b8d7b90
hex4f28c4b4

1328071860 has 72 divisors (see below), whose sum is σ = 4032723240. Its totient is φ = 353779968.

The previous prime is 1328071847. The next prime is 1328071867. The reversal of 1328071860 is 681708231.

It can be written as a sum of positive squares in 4 ways, for example, as 132848676 + 1195223184 = 11526^2 + 34572^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328071867) 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, 196294 + ... + 202946.

It is an arithmetic number, because the mean of its divisors is an integer number (56010045).

Almost surely, 21328071860 is an apocalyptic number.

1328071860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1328071860 is an abundant number, since it is smaller than the sum of its proper divisors (2704651380).

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

1328071860 is a wasteful number, since it uses less digits than its factorization.

1328071860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1328071860 is about 36442.7202607050. The cubic root of 1328071860 is about 1099.1927576069.

The spelling of 1328071860 in words is "one billion, three hundred twenty-eight million, seventy-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1109 2218 3327 4436 5545 6653 6654 9981 11090 13306 13308 16635 19959 19962 22180 26612 33265 33270 39918 39924 49905 59877 66530 66540 79836 99795 99810 119754 133060 199590 199620 239508 299385 399180 598770 1197540 7378177 14756354 22134531 29512708 36890885 44269062 66403593 73781770 88538124 110672655 132807186 147563540 221345310 265614372 332017965 442690620 664035930 1328071860