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1641644040 = 233525753231
BaseRepresentation
bin110000111011001…
…1000000000001000
311020102001011021010
41201312120000020
511330230102130
6430522043520
755452513141
oct14166300010
94212034233
101641644040
11772735513
123999495a0
13202156a0a
14118054ac8
15991c80b0
hex61d98008

1641644040 has 64 divisors (see below), whose sum is σ = 4944188160. Its totient is φ = 436060160.

The previous prime is 1641644033. The next prime is 1641644047. The reversal of 1641644040 is 404461461.

It is an interprime number because it is at equal distance from previous prime (1641644033) and next prime (1641644047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1641643989 and 1641644007.

It is not an unprimeable number, because it can be changed into a prime (1641644047) 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, 4225 + ... + 57455.

It is an arithmetic number, because the mean of its divisors is an integer number (77252940).

Almost surely, 21641644040 is an apocalyptic number.

1641644040 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 1641644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472094080).

1641644040 is an abundant number, since it is smaller than the sum of its proper divisors (3302544120).

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

1641644040 is a wasteful number, since it uses less digits than its factorization.

1641644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53502 (or 53498 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1641644040 is about 40517.2067151723. The cubic root of 1641644040 is about 1179.6676359733.

The spelling of 1641644040 in words is "one billion, six hundred forty-one million, six hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 15420 30840 53231 106462 159693 212924 266155 319386 425848 532310 638772 798465 1064620 1277544 1596930 2129240 3193860 6387720 13680367 27360734 41041101 54721468 68401835 82082202 109442936 136803670 164164404 205205505 273607340 328328808 410411010 547214680 820822020 1641644040