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1303552420 = 225521125101
BaseRepresentation
bin100110110110010…
…1010000110100100
310100211212022202021
41031230222012210
510132202134140
6333203352524
744206004242
oct11554520644
93324768667
101303552420
11609904255
12304682744
1317a0acbc1
14c51a7792
1579692b4a
hex4db2a1a4

1303552420 has 24 divisors (see below), whose sum is σ = 2742736248. Its totient is φ = 520416000.

The previous prime is 1303552417. The next prime is 1303552423. The reversal of 1303552420 is 242553031.

It is an interprime number because it is at equal distance from previous prime (1303552417) and next prime (1303552423).

It can be written as a sum of positive squares in 4 ways, for example, as 256512256 + 1047040164 = 16016^2 + 32358^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1303552423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52131 + ... + 72970.

It is an arithmetic number, because the mean of its divisors is an integer number (114280677).

Almost surely, 21303552420 is an apocalyptic number.

1303552420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303552420 is an abundant number, since it is smaller than the sum of its proper divisors (1439183828).

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

1303552420 is a wasteful number, since it uses less digits than its factorization.

1303552420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125631 (or 125629 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1303552420 is about 36104.7423477858. The cubic root of 1303552420 is about 1092.3861034994.

The spelling of 1303552420 in words is "one billion, three hundred three million, five hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 521 1042 2084 2605 5210 10420 125101 250202 500404 625505 1251010 2502020 65177621 130355242 260710484 325888105 651776210 1303552420