Search a number
-
+
1053048880 = 245131012547
BaseRepresentation
bin111110110001000…
…100000000110000
32201101111102111101
4332301010000300
54124040031010
6252254254144
735044524232
oct7661040060
92641442441
101053048880
114a0467234
122547b7354
1313a222260
149dbda252
15626ae73a
hex3ec44030

1053048880 has 40 divisors (see below), whose sum is σ = 2636674992. Its totient is φ = 388817664.

The previous prime is 1053048851. The next prime is 1053048911. The reversal of 1053048880 is 888403501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10530488802 = 2217823887338508800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505234 + ... + 507313.

Almost surely, 21053048880 is an apocalyptic number.

1053048880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053048880 is an abundant number, since it is smaller than the sum of its proper divisors (1583626112).

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

1053048880 is a wasteful number, since it uses less digits than its factorization.

1053048880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012573 (or 1012567 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1053048880 is about 32450.7146300355. The cubic root of 1053048880 is about 1017.3791745805.

The spelling of 1053048880 in words is "one billion, fifty-three million, forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1012547 2025094 4050188 5062735 8100376 10125470 13163111 16200752 20250940 26326222 40501880 52652444 65815555 81003760 105304888 131631110 210609776 263262220 526524440 1053048880