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1054425920 = 26522914389
BaseRepresentation
bin111110110110010…
…100001101000000
32201111002101102212
4332312110031000
54124413112140
6252344001252
735062321022
oct7666241500
92644071385
101054425920
114a1217889
12255160228
1313a5b4c82
14a0078012
1562882765
hex3ed94340

1054425920 has 56 divisors (see below), whose sum is σ = 2521991400. Its totient is φ = 419899392.

The previous prime is 1054425917. The next prime is 1054425923. The reversal of 1054425920 is 295244501.

It is an interprime number because it is at equal distance from previous prime (1054425917) and next prime (1054425923).

It can be written as a sum of positive squares in 4 ways, for example, as 216207616 + 838218304 = 14704^2 + 28952^2 .

It is a super-2 number, since 2×10544259202 = 2223628041535692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054425923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66086 + ... + 80474.

Almost surely, 21054425920 is an apocalyptic number.

1054425920 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 1054425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260995700).

1054425920 is an abundant number, since it is smaller than the sum of its proper divisors (1467565480).

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

1054425920 is a wasteful number, since it uses less digits than its factorization.

1054425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14635 (or 14625 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1054425920 is about 32471.9251046192. The cubic root of 1054425920 is about 1017.8224466890.

The spelling of 1054425920 in words is "one billion, fifty-four million, four hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 916 1145 1832 2290 3664 4580 7328 9160 14389 14656 18320 28778 36640 57556 71945 73280 115112 143890 230224 287780 460448 575560 920896 1151120 2302240 3295081 4604480 6590162 13180324 16475405 26360648 32950810 52721296 65901620 105442592 131803240 210885184 263606480 527212960 1054425920