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1303412140 = 225419711637
BaseRepresentation
bin100110110110000…
…0111110110101100
310100211121012022201
41031230013312230
510132133142030
6333200351244
744204551252
oct11554076654
93324535281
101303412140
11609818918
12304615524
1317a0610b4
14c516c5d2
15796662ca
hex4db07dac

1303412140 has 48 divisors (see below), whose sum is σ = 2808527904. Its totient is φ = 507814400.

The previous prime is 1303412137. The next prime is 1303412147. The reversal of 1303412140 is 412143031.

It is not an unprimeable number, because it can be changed into a prime (1303412147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795402 + ... + 797038.

It is an arithmetic number, because the mean of its divisors is an integer number (58510998).

Almost surely, 21303412140 is an apocalyptic number.

1303412140 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 1303412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404263952).

1303412140 is an abundant number, since it is smaller than the sum of its proper divisors (1505115764).

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

1303412140 is a wasteful number, since it uses less digits than its factorization.

1303412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1303412140 is about 36102.7996144343. The cubic root of 1303412140 is about 1092.3469168845.

Adding to 1303412140 its reverse (412143031), we get a palindrome (1715555171).

The spelling of 1303412140 in words is "one billion, three hundred three million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 971 1637 1942 3274 3884 4855 6548 8185 9710 16370 19420 32740 39811 67117 79622 134234 159244 199055 268468 335585 398110 671170 796220 1342340 1589527 3179054 6358108 7947635 15895270 31790540 65170607 130341214 260682428 325853035 651706070 1303412140