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2082574080 = 28325180779
BaseRepresentation
bin111110000100001…
…1000111100000000
312101010201201120100
41330020120330000
513231114332310
6542352442400
7102415405356
oct17410307400
95333651510
102082574080
11979616804
124a1549400
132725c9272
1415a8317d6
15c2c73ec0
hex7c218f00

2082574080 has 108 divisors (see below), whose sum is σ = 7205529240. Its totient is φ = 555350016.

The previous prime is 2082574073. The next prime is 2082574093. The reversal of 2082574080 is 804752802.

It is a happy number.

2082574080 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 574 + 0 + 80 = 666.

It is a super-2 number, since 2×20825740802 = 8674229597375692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78870 + ... + 101909.

Almost surely, 22082574080 is an apocalyptic number.

2082574080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082574080 is an abundant number, since it is smaller than the sum of its proper divisors (5122955160).

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

2082574080 is a wasteful number, since it uses less digits than its factorization.

2082574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180806 (or 180789 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2082574080 is about 45635.2284972914. The cubic root of 2082574080 is about 1277.0272156732.

The spelling of 2082574080 in words is "two billion, eighty-two million, five hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 180779 361558 542337 723116 903895 1084674 1446232 1627011 1807790 2169348 2711685 2892464 3254022 3615580 4338696 5423370 5784928 6508044 7231160 8135055 8677392 10846740 11569856 13016088 14462320 16270110 17354784 21693480 23139712 26032176 28924640 32540220 34709568 43386960 46279424 52064352 57849280 65080440 69419136 86773920 104128704 115698560 130160880 138838272 173547840 208257408 231397120 260321760 347095680 416514816 520643520 694191360 1041287040 2082574080