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2134803520 = 265193111129
BaseRepresentation
bin111111100111110…
…1000010001000000
312111210000020220001
41333033220101000
513333002203040
6551500125344
7103621346653
oct17717502100
95453006801
102134803520
119a604a533
124b6b36854
13280385365
1416374989a
15c763e59a
hex7f3e8440

2134803520 has 112 divisors (see below), whose sum is σ = 5373014400. Its totient is φ = 805662720.

The previous prime is 2134803511. The next prime is 2134803523. The reversal of 2134803520 is 253084312.

It is not an unprimeable number, because it can be changed into a prime (2134803523) 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, 1890316 + ... + 1891444.

Almost surely, 22134803520 is an apocalyptic number.

2134803520 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 2134803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686507200).

2134803520 is an abundant number, since it is smaller than the sum of its proper divisors (3238210880).

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

2134803520 is a wasteful number, since it uses less digits than its factorization.

2134803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2134803520 is about 46203.9340316385. The cubic root of 2134803520 is about 1287.6148302395.

Adding to 2134803520 its reverse (253084312), we get a palindrome (2387887832).

The spelling of 2134803520 in words is "two billion, one hundred thirty-four million, eight hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 311 320 380 608 622 760 1129 1216 1244 1520 1555 2258 2488 3040 3110 4516 4976 5645 5909 6080 6220 9032 9952 11290 11818 12440 18064 19904 21451 22580 23636 24880 29545 36128 42902 45160 47272 49760 59090 72256 85804 90320 94544 99520 107255 118180 171608 180640 189088 214510 236360 343216 351119 361280 378176 429020 472720 686432 702238 858040 945440 1372864 1404476 1716080 1755595 1890880 2808952 3432160 3511190 5617904 6671261 6864320 7022380 11235808 13342522 14044760 22471616 26685044 28089520 33356305 53370088 56179040 66712610 106740176 112358080 133425220 213480352 266850440 426960704 533700880 1067401760 2134803520