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1403001320 = 23572715817
BaseRepresentation
bin101001110100000…
…0001100111101000
310121202222211222212
41103220001213220
510333132020240
6351115104252
746524212600
oct12350014750
93552884885
101403001320
1165aa59726
12331a42088
1319488c8c6
14d4493c00
1583289165
hex53a019e8

1403001320 has 48 divisors (see below), whose sum is σ = 3672146340. Its totient is φ = 481028352.

The previous prime is 1403001283. The next prime is 1403001329. The reversal of 1403001320 is 231003041.

It can be written as a sum of positive squares in 2 ways, for example, as 1315803076 + 87198244 = 36274^2 + 9338^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1403001295 and 1403001304.

It is not an unprimeable number, because it can be changed into a prime (1403001329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 355949 + ... + 359868.

Almost surely, 21403001320 is an apocalyptic number.

1403001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1403001320 is an abundant number, since it is smaller than the sum of its proper divisors (2269145020).

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

1403001320 is a wasteful number, since it uses less digits than its factorization.

1403001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715842 (or 715831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1403001320 is about 37456.6592210250. The cubic root of 1403001320 is about 1119.4877866168.

Adding to 1403001320 its reverse (231003041), we get a palindrome (1634004361).

The spelling of 1403001320 in words is "one billion, four hundred three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 715817 1431634 2863268 3579085 5010719 5726536 7158170 10021438 14316340 20042876 25053595 28632680 35075033 40085752 50107190 70150066 100214380 140300132 175375165 200428760 280600264 350750330 701500660 1403001320