Search a number
-
+
2073780968 = 237791273691
BaseRepresentation
bin111101110011011…
…0110001011101000
312100112011222200112
41323212312023220
513221341442333
6541440153452
7102250563440
oct17346661350
95315158615
102073780968
11974660376
1249a608888
1327083ab3c
141595c3120
15c20d8948
hex7b9b62e8

2073780968 has 64 divisors (see below), whose sum is σ = 4536729600. Its totient is φ = 870367680.

The previous prime is 2073780967. The next prime is 2073780971. The reversal of 2073780968 is 8690873702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2073780967) 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, 560003 + ... + 563693.

It is an arithmetic number, because the mean of its divisors is an integer number (70886400).

Almost surely, 22073780968 is an apocalyptic number.

2073780968 is a gapful number since it is divisible by the number (28) 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 2073780968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268364800).

2073780968 is an abundant number, since it is smaller than the sum of its proper divisors (2462948632).

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

2073780968 is a wasteful number, since it uses less digits than its factorization.

2073780968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 2073780968 is about 45538.7853153770. The cubic root of 2073780968 is about 1275.2273782355.

The spelling of 2073780968 in words is "two billion, seventy-three million, seven hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 79 127 158 254 316 508 553 632 889 1016 1106 1778 2212 3556 3691 4424 7112 7382 10033 14764 20066 25837 29528 40132 51674 70231 80264 103348 140462 206696 280924 291589 468757 561848 583178 937514 1166356 1875028 2041123 2332712 3281299 3750056 4082246 6562598 8164492 13125196 16328984 26250392 37031803 74063606 148127212 259222621 296254424 518445242 1036890484 2073780968