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1328606720 = 2957151491
BaseRepresentation
bin100111100110000…
…1110111000000000
310102121000012210022
41033030032320000
510210110403340
6335500353012
744631653660
oct11714167000
93377005708
101328606720
11621a66991
12310b45768
13182342a2c
14c864a1a0
157b9913b5
hex4f30ee00

1328606720 has 160 divisors (see below), whose sum is σ = 3672193536. Its totient is φ = 451584000.

The previous prime is 1328606641. The next prime is 1328606737. The reversal of 1328606720 is 276068231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705675 + ... + 2706165.

Almost surely, 21328606720 is an apocalyptic number.

1328606720 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 1328606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836096768).

1328606720 is an abundant number, since it is smaller than the sum of its proper divisors (2343586816).

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

1328606720 is an equidigital number, since it uses as much as digits as its factorization.

1328606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1328606720 is about 36450.0578874712. The cubic root of 1328606720 is about 1099.3402986523.

The spelling of 1328606720 in words is "one billion, three hundred twenty-eight million, six hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 151 160 224 256 280 302 320 448 491 512 560 604 640 755 896 982 1057 1120 1208 1280 1510 1792 1964 2114 2240 2416 2455 2560 3020 3437 3584 3928 4228 4480 4832 4910 5285 6040 6874 7856 8456 8960 9664 9820 10570 12080 13748 15712 16912 17185 17920 19328 19640 21140 24160 27496 31424 33824 34370 38656 39280 42280 48320 54992 62848 67648 68740 74141 77312 78560 84560 96640 109984 125696 135296 137480 148282 157120 169120 193280 219968 251392 270592 274960 296564 314240 338240 370705 386560 439936 518987 541184 549920 593128 628480 676480 741410 879872 1037974 1099840 1186256 1256960 1352960 1482820 1759744 2075948 2199680 2372512 2594935 2705920 2965640 4151896 4399360 4745024 5189870 5931280 8303792 8798720 9490048 10379740 11862560 16607584 18980096 20759480 23725120 33215168 37960192 41518960 47450240 66430336 83037920 94900480 132860672 166075840 189800960 265721344 332151680 664303360 1328606720