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2560158020 = 225737509971
BaseRepresentation
bin1001100010011000…
…1110100101000100
320121102101111120102
42120212032211010
520220400024040
61102013023232
7120304661360
oct23046164504
96542344512
102560158020
1110a4162682
125b5484b18
1331a533304
141a40302a0
15eeb60515
hex9898e944

2560158020 has 96 divisors (see below), whose sum is σ = 6329352960. Its totient is φ = 851489280.

The previous prime is 2560158011. The next prime is 2560158043. The reversal of 2560158020 is 208510652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636135 + ... + 2637105.

It is an arithmetic number, because the mean of its divisors is an integer number (65930760).

Almost surely, 22560158020 is an apocalyptic number.

2560158020 is a gapful number since it is divisible by the number (20) 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 2560158020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164676480).

2560158020 is an abundant number, since it is smaller than the sum of its proper divisors (3769194940).

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

2560158020 is a wasteful number, since it uses less digits than its factorization.

2560158020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 2560158020 is about 50598.0041108343. The cubic root of 2560158020 is about 1368.0089036788.

Adding to 2560158020 its reverse (208510652), we get a palindrome (2768668672).

The spelling of 2560158020 in words is "two billion, five hundred sixty million, one hundred fifty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 509 518 740 971 1018 1036 1295 1942 2036 2545 2590 3563 3884 4855 5090 5180 6797 7126 9710 10180 13594 14252 17815 18833 19420 27188 33985 35630 35927 37666 67970 71260 71854 75332 94165 131831 135940 143708 179635 188330 251489 263662 359270 376660 494239 502978 527324 659155 718540 988478 1005956 1257445 1318310 1976956 2471195 2514890 2636620 3459673 4942390 5029780 6919346 9884780 13838692 17298365 18286843 34596730 36573686 69193460 73147372 91434215 128007901 182868430 256015802 365736860 512031604 640039505 1280079010 2560158020