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1053376460 = 225191313881
BaseRepresentation
bin111110110010010…
…011111111001100
32201102010001211222
4332302103333030
54124131021320
6252305302512
735050360253
oct7662237714
92642101758
101053376460
114a0670364
12254934a38
1313a3083a6
149dc8379a
1562726825
hex3ec93fcc

1053376460 has 48 divisors (see below), whose sum is σ = 2233308672. Its totient is φ = 417331200.

The previous prime is 1053376439. The next prime is 1053376463. The reversal of 1053376460 is 646733501.

It is a super-2 number, since 2×10533764602 = 2219203932964263200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053376460.

It is not an unprimeable number, because it can be changed into a prime (1053376463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195220 + ... + 1196100.

It is an arithmetic number, because the mean of its divisors is an integer number (46527264).

Almost surely, 21053376460 is an apocalyptic number.

1053376460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053376460 is an abundant number, since it is smaller than the sum of its proper divisors (1179932212).

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

1053376460 is a wasteful number, since it uses less digits than its factorization.

1053376460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 1053376460 is about 32455.7615840393. The cubic root of 1053376460 is about 1017.4846582936.

The spelling of 1053376460 in words is "one billion, fifty-three million, three hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 191 313 382 626 764 881 955 1252 1565 1762 1910 3130 3524 3820 4405 6260 8810 17620 59783 119566 168271 239132 275753 298915 336542 551506 597830 673084 841355 1103012 1195660 1378765 1682710 2757530 3365420 5515060 52668823 105337646 210675292 263344115 526688230 1053376460