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2051430920 = 235711798431
BaseRepresentation
bin111101001000110…
…0101101000001000
312021222010111011222
41322101211220020
513200131242140
6535321141212
7101556606110
oct17221455010
95258114158
102051430920
11962a85460
1249302a808
13269013b66
14156646040
15c01715b5
hex7a465a08

2051430920 has 128 divisors (see below), whose sum is σ = 5828198400. Its totient is φ = 631238400.

The previous prime is 2051430917. The next prime is 2051430929. The reversal of 2051430920 is 290341502.

It is a self number, because there is not a number n which added to its sum of digits gives 2051430920.

It is not an unprimeable number, because it can be changed into a prime (2051430929) by changing a digit.

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, 239105 + ... + 247535.

It is an arithmetic number, because the mean of its divisors is an integer number (45532800).

Almost surely, 22051430920 is an apocalyptic number.

2051430920 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 2051430920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914099200).

2051430920 is an abundant number, since it is smaller than the sum of its proper divisors (3776767480).

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

2051430920 is a wasteful number, since it uses less digits than its factorization.

2051430920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8539 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2051430920 is about 45292.7248021136. The cubic root of 2051430920 is about 1270.6295925593.

The spelling of 2051430920 in words is "two billion, fifty-one million, four hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 79 88 110 140 154 158 220 280 308 316 385 395 440 553 616 632 770 790 869 1106 1540 1580 1738 2212 2765 3080 3160 3476 4345 4424 5530 6083 6952 8431 8690 11060 12166 16862 17380 22120 24332 30415 33724 34760 42155 48664 59017 60830 67448 84310 92741 118034 121660 168620 185482 236068 243320 295085 337240 370964 463705 472136 590170 649187 666049 741928 927410 1180340 1298374 1332098 1854820 2360680 2596748 2664196 3245935 3330245 3709640 4662343 5193496 5328392 6491870 6660490 7326539 9324686 12983740 13320980 14653078 18649372 23311715 25967480 26641960 29306156 36632695 37298744 46623430 51285773 58612312 73265390 93246860 102571546 146530780 186493720 205143092 256428865 293061560 410286184 512857730 1025715460 2051430920