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2028972320 = 255311273221
BaseRepresentation
bin111100011101111…
…1010100100100000
312020101212110202222
41320323322210200
513123404103240
6533155530212
7101164660124
oct17073724440
95211773688
102028972320
11951335a31
124875b9968
1326447c64b
1415367b584
15bd1d6eb5
hex78efa920

2028972320 has 96 divisors (see below), whose sum is σ = 4988583936. Its totient is φ = 778982400.

The previous prime is 2028972317. The next prime is 2028972343. The reversal of 2028972320 is 232798202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628310 + ... + 631530.

It is an arithmetic number, because the mean of its divisors is an integer number (51964416).

Almost surely, 22028972320 is an apocalyptic number.

2028972320 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 2028972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494291968).

2028972320 is an abundant number, since it is smaller than the sum of its proper divisors (2959611616).

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

2028972320 is a wasteful number, since it uses less digits than its factorization.

2028972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2028972320 is about 45044.1152649267. The cubic root of 2028972320 is about 1265.9757130342.

The spelling of 2028972320 in words is "two billion, twenty-eight million, nine hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 127 155 160 248 254 310 496 508 620 635 992 1016 1240 1270 2032 2480 2540 3221 3937 4064 4960 5080 6442 7874 10160 12884 15748 16105 19685 20320 25768 31496 32210 39370 51536 62992 64420 78740 99851 103072 125984 128840 157480 199702 257680 314960 399404 409067 499255 515360 629920 798808 818134 998510 1597616 1636268 1997020 2045335 3195232 3272536 3994040 4090670 6545072 7988080 8181340 12681077 13090144 15976160 16362680 25362154 32725360 50724308 63405385 65450720 101448616 126810770 202897232 253621540 405794464 507243080 1014486160 2028972320