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1641372320 = 25577120641
BaseRepresentation
bin110000111010101…
…0101101010100000
311020101112100112102
41201311111222200
511330142403240
6430512145532
755450302020
oct14165255240
94211470472
101641372320
1177256a355
123998382a8
13202090133
14117dc3a80
1599172815
hex61d55aa0

1641372320 has 96 divisors (see below), whose sum is σ = 4494341376. Its totient is φ = 554803200.

The previous prime is 1641372319. The next prime is 1641372329. The reversal of 1641372320 is 232731461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1641372329) 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, 69200 + ... + 89840.

It is an arithmetic number, because the mean of its divisors is an integer number (46816056).

Almost surely, 21641372320 is an apocalyptic number.

1641372320 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 1641372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247170688).

1641372320 is an abundant number, since it is smaller than the sum of its proper divisors (2852969056).

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

1641372320 is a wasteful number, since it uses less digits than its factorization.

1641372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20734 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1641372320 is about 40513.8534331159. The cubic root of 1641372320 is about 1179.6025473652.

The spelling of 1641372320 in words is "one billion, six hundred forty-one million, three hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 71 80 112 140 142 160 224 280 284 355 497 560 568 710 994 1120 1136 1420 1988 2272 2485 2840 3976 4970 5680 7952 9940 11360 15904 19880 20641 39760 41282 79520 82564 103205 144487 165128 206410 288974 330256 412820 577948 660512 722435 825640 1155896 1444870 1465511 1651280 2311792 2889740 2931022 3302560 4623584 5779480 5862044 7327555 10258577 11558960 11724088 14655110 20517154 23117920 23448176 29310220 41034308 46896352 51292885 58620440 82068616 102585770 117240880 164137232 205171540 234481760 328274464 410343080 820686160 1641372320