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1029425620 = 225895411069
BaseRepresentation
bin111101010110111…
…100100111010100
32122202001020110211
4331112330213110
54102013104440
6250052055204
734336654606
oct7526744724
92582036424
101029425620
114890a1783
12248904504
131353708b2
149aa0b176
1560594eea
hex3d5bc9d4

1029425620 has 48 divisors (see below), whose sum is σ = 2192173200. Its totient is φ = 406010880.

The previous prime is 1029425611. The next prime is 1029425623. The reversal of 1029425620 is 265249201.

It can be written as a sum of positive squares in 8 ways, for example, as 92698384 + 936727236 = 9628^2 + 30606^2 .

It is a super-2 number, since 2×10294256202 = 2119434214224768800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029425623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962446 + ... + 963514.

It is an arithmetic number, because the mean of its divisors is an integer number (45670275).

Almost surely, 21029425620 is an apocalyptic number.

1029425620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029425620 is an abundant number, since it is smaller than the sum of its proper divisors (1162747580).

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

1029425620 is a wasteful number, since it uses less digits than its factorization.

1029425620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1029425620 is about 32084.6633144249. The cubic root of 1029425620 is about 1009.7138750989.

The spelling of 1029425620 in words is "one billion, twenty-nine million, four hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 541 890 1069 1082 1780 2138 2164 2705 4276 5345 5410 10690 10820 21380 48149 95141 96298 190282 192596 240745 380564 475705 481490 578329 951410 962980 1156658 1902820 2313316 2891645 5783290 11566580 51471281 102942562 205885124 257356405 514712810 1029425620