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1309438872 = 233471716981
BaseRepresentation
bin100111000001100…
…0111001110011000
310101020221101110000
41032003013032120
510140204020442
6333533453000
744310022020
oct11603071630
93336841400
101309438872
11612164895
12306641160
1317b391301
14c5c9aa80
1579e56d4c
hex4e0c7398

1309438872 has 160 divisors (see below), whose sum is σ = 4438415520. Its totient is φ = 352097280.

The previous prime is 1309438859. The next prime is 1309438873. The reversal of 1309438872 is 2788349031.

1309438872 is a `hidden beast` number, since 130 + 9 + 438 + 87 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309438873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68622 + ... + 85602.

It is an arithmetic number, because the mean of its divisors is an integer number (27740097).

Almost surely, 21309438872 is an apocalyptic number.

1309438872 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 1309438872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219207760).

1309438872 is an abundant number, since it is smaller than the sum of its proper divisors (3128976648).

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

1309438872 is a wasteful number, since it uses less digits than its factorization.

1309438872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17023 (or 17010 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1309438872 is about 36186.1696232138. The cubic root of 1309438872 is about 1094.0279307105.

The spelling of 1309438872 in words is "one billion, three hundred nine million, four hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 918 952 1071 1134 1224 1377 1428 1512 1836 2142 2268 2754 2856 3213 3672 4284 4536 5508 6426 8568 9639 11016 12852 16981 19278 25704 33962 38556 50943 67924 77112 101886 118867 135848 152829 203772 237734 288677 305658 356601 407544 458487 475468 577354 611316 713202 866031 916974 950936 1069803 1154708 1222632 1375461 1426404 1732062 1833948 2020739 2139606 2309416 2598093 2750922 2852808 3209409 3464124 3667896 4041478 4279212 5196186 5501844 6062217 6418818 6928248 7794279 8082956 8558424 9628227 10392372 11003688 12124434 12837636 15588558 16165912 18186651 19256454 20784744 23382837 24248868 25675272 31177116 36373302 38512908 46765674 48497736 54559953 62354232 72746604 77025816 93531348 109119906 145493208 163679859 187062696 218239812 327359718 436479624 654719436 1309438872