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1393593984 = 2734139967
BaseRepresentation
bin101001100010000…
…1000111010000000
310121010021220120000
41103010020322000
510323230001414
6350141320000
746351232136
oct12304107200
93533256500
101393593984
11655713872
1232a866000
13192947a33
14d3125756
158252bb09
hex53108e80

1393593984 has 160 divisors (see below), whose sum is σ = 4181469600. Its totient is φ = 460712448.

The previous prime is 1393593979. The next prime is 1393594067. The reversal of 1393593984 is 4893953931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1393593984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1440669 + ... + 1441635.

It is an arithmetic number, because the mean of its divisors is an integer number (26134185).

Almost surely, 21393593984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090734800).

1393593984 is an abundant number, since it is smaller than the sum of its proper divisors (2787875616).

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

1393593984 is an equidigital number, since it uses as much as digits as its factorization.

1393593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1111 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 1393593984 is about 37330.8717283698. The cubic root of 1393593984 is about 1116.9800617162.

The spelling of 1393593984 in words is "one billion, three hundred ninety-three million, five hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 278 288 324 384 417 432 556 576 648 834 864 967 1112 1152 1251 1296 1668 1728 1934 2224 2502 2592 2901 3336 3456 3753 3868 4448 5004 5184 5802 6672 7506 7736 8703 8896 10008 10368 11259 11604 13344 15012 15472 17406 17792 20016 22518 23208 26109 26688 30024 30944 34812 40032 45036 46416 52218 53376 60048 61888 69624 78327 80064 90072 92832 104436 120096 123776 134413 139248 156654 160128 180144 185664 208872 240192 268826 278496 313308 360288 371328 403239 417744 480384 537652 556992 626616 720576 806478 835488 1075304 1113984 1209717 1253232 1441152 1612956 1670976 2150608 2419434 2506464 3225912 3341952 3629151 4301216 4838868 5012928 6451824 7258302 8602432 9677736 10025856 10887453 12903648 14516604 17204864 19355472 21774906 25807296 29033208 38710944 43549812 51614592 58066416 77421888 87099624 116132832 154843776 174199248 232265664 348398496 464531328 696796992 1393593984