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1053741940 = 225173099241
BaseRepresentation
bin111110110011101…
…101001101110100
32201102210122012021
4332303231031310
54124224220230
6252321202524
735053441636
oct7663551564
92642718167
101053741940
114a089aa09
12254a90444
1313a405854
149dd3aa56
1562799c7a
hex3eced374

1053741940 has 24 divisors (see below), whose sum is σ = 2343026952. Its totient is φ = 396702720.

The previous prime is 1053741901. The next prime is 1053741959. The reversal of 1053741940 is 491473501.

It can be written as a sum of positive squares in 4 ways, for example, as 101525776 + 952216164 = 10076^2 + 30858^2 .

It is a super-2 number, since 2×10537419402 = 2220744152229927200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1053741896 and 1053741905.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1549281 + ... + 1549960.

It is an arithmetic number, because the mean of its divisors is an integer number (97626123).

Almost surely, 21053741940 is an apocalyptic number.

1053741940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053741940 is an abundant number, since it is smaller than the sum of its proper divisors (1289285012).

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

1053741940 is a wasteful number, since it uses less digits than its factorization.

1053741940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099267 (or 3099265 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1053741940 is about 32461.3915290149. The cubic root of 1053741940 is about 1017.6023203411.

The spelling of 1053741940 in words is "one billion, fifty-three million, seven hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3099241 6198482 12396964 15496205 30992410 52687097 61984820 105374194 210748388 263435485 526870970 1053741940