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1053906000 = 243537231091
BaseRepresentation
bin111110110100010…
…101010001010000
32201110002222020120
4332310111101100
54124244443000
6252324510240
735055024150
oct7664252120
92643088216
101053906000
114a09a21a4
12254b4b380
1313a462424
149dd80760
15627cd6a0
hex3ed15450

1053906000 has 320 divisors, whose sum is σ = 4055740416. Its totient is φ = 230208000.

The previous prime is 1053905969. The next prime is 1053906011. The reversal of 1053906000 is 6093501.

It is a super-2 number, since 2×10539060002 = 2221435713672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965455 + ... + 966545.

Almost surely, 21053906000 is an apocalyptic number.

1053906000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027870208).

1053906000 is an abundant number, since it is smaller than the sum of its proper divisors (3001834416).

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

1053906000 is a wasteful number, since it uses less digits than its factorization.

1053906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1053906000 is about 32463.9184326230. The cubic root of 1053906000 is about 1017.6551287081.

Adding to 1053906000 its reverse (6093501), we get a palindrome (1059999501).

The spelling of 1053906000 in words is "one billion, fifty-three million, nine hundred six thousand".