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1481320840 = 2351710720359
BaseRepresentation
bin101100001001011…
…0010100110001000
310211020100220011211
41120102302212020
511013204231330
6402553502504
751465006436
oct13022624610
93736326154
101481320840
116a01922aa
12354111a34
131a7b8210c
14100a3dd56
158a0a9d2a
hex584b2988

1481320840 has 64 divisors (see below), whose sum is σ = 3562185600. Its totient is φ = 552434688.

The previous prime is 1481320793. The next prime is 1481320859. The reversal of 1481320840 is 480231841.

It is a super-2 number, since 2×14813208402 = 4388622862036611200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62581 + ... + 82939.

It is an arithmetic number, because the mean of its divisors is an integer number (55659150).

Almost surely, 21481320840 is an apocalyptic number.

1481320840 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 1481320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781092800).

1481320840 is an abundant number, since it is smaller than the sum of its proper divisors (2080864760).

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

1481320840 is a wasteful number, since it uses less digits than its factorization.

1481320840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20494 (or 20490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1481320840 is about 38487.9310953447. The cubic root of 1481320840 is about 1139.9427590013.

It can be divided in two parts, 14813 and 20840, that added together give a palindrome (35653).

The spelling of 1481320840 in words is "one billion, four hundred eighty-one million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1819 2140 3638 4280 7276 9095 14552 18190 20359 36380 40718 72760 81436 101795 162872 203590 346103 407180 692206 814360 1384412 1730515 2178413 2768824 3461030 4356826 6922060 8713652 10892065 13844120 17427304 21784130 37033021 43568260 74066042 87136520 148132084 185165105 296264168 370330210 740660420 1481320840