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1381793280 = 2935725703
BaseRepresentation
bin101001001011100…
…0111111000000000
310120022002101000220
41102113013320000
510312214341110
6345040343040
746146022560
oct12227077000
93508071026
101381793280
11649a9381a
12326914a80
1319037567a
14d1732da0
158149a370
hex525c7e00

1381793280 has 160 divisors (see below), whose sum is σ = 5048676864. Its totient is φ = 315826176.

The previous prime is 1381793251. The next prime is 1381793291. The reversal of 1381793280 is 823971831.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 40909 + ... + 66611.

Almost surely, 21381793280 is an apocalyptic number.

1381793280 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 1381793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524338432).

1381793280 is an abundant number, since it is smaller than the sum of its proper divisors (3666883584).

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

1381793280 is an equidigital number, since it uses as much as digits as its factorization.

1381793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25736 (or 25720 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1381793280 is about 37172.4801432458. The cubic root of 1381793280 is about 1113.8183248779.

The spelling of 1381793280 in words is "one billion, three hundred eighty-one million, seven hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 25703 26880 51406 53760 77109 102812 128515 154218 179921 205624 257030 308436 359842 385545 411248 514060 539763 616872 719684 771090 822496 899605 1028120 1079526 1233744 1439368 1542180 1644992 1799210 2056240 2159052 2467488 2698815 2878736 3084360 3289984 3598420 4112480 4318104 4934976 5397630 5757472 6168720 6579968 7196840 8224960 8636208 9869952 10795260 11514944 12337440 13159936 14393680 16449920 17272416 19739904 21590520 23029888 24674880 28787360 32899840 34544832 39479808 43181040 46059776 49349760 57574720 65799680 69089664 86362080 92119552 98699520 115149440 138179328 172724160 197399040 230298880 276358656 345448320 460597760 690896640 1381793280