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1053768375 = 325311175009
BaseRepresentation
bin111110110011110…
…011101010110111
32201102211222110100
4332303303222313
54124231042000
6252321525143
735053612002
oct7663635267
92642758410
101053768375
114a0908860
12254aa37b3
1313a4148aa
149dd46539
15627a2a00
hex3ecf3ab7

1053768375 has 96 divisors (see below), whose sum is σ = 2194620480. Its totient is φ = 480768000.

The previous prime is 1053768371. The next prime is 1053768407. The reversal of 1053768375 is 5738673501.

It is not a de Polignac number, because 1053768375 - 22 = 1053768371 is a prime.

It is a super-2 number, since 2×10537683752 = 2220855576300281250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1053768375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053768371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207871 + ... + 212879.

It is an arithmetic number, because the mean of its divisors is an integer number (22860630).

Almost surely, 21053768375 is an apocalyptic number.

1053768375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1053768375 is an abundant number, since it is smaller than the sum of its proper divisors (1140852105).

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

1053768375 is a wasteful number, since it uses less digits than its factorization.

1053768375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 1053768375 is about 32461.7987024749. The cubic root of 1053768375 is about 1017.6108297276.

The spelling of 1053768375 in words is "one billion, fifty-three million, seven hundred sixty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 125 153 165 187 225 255 275 375 425 495 561 765 825 935 1125 1275 1375 1683 2125 2475 2805 3825 4125 4675 5009 6375 8415 12375 14025 15027 19125 23375 25045 42075 45081 55099 70125 75135 85153 125225 165297 210375 225405 255459 275495 375675 425765 495891 626125 766377 826485 936683 1127025 1277295 1377475 1878375 2128825 2479455 2810049 3831885 4132425 4683415 5635125 6386475 6887375 8430147 10644125 12397275 14050245 19159425 20662125 23417075 31932375 42150735 61986375 70251225 95797125 117085375 210753675 351256125 1053768375