Search a number
-
+
2770123956 = 2231722334729
BaseRepresentation
bin1010010100011100…
…1011110010110100
321011001110212200120
42211013023302310
521133122431311
61134513211540
7125434444065
oct24507136264
97131425616
102770123956
1111a1732146
12653860bb0
13351b99802
141c3c8856c
151132d7706
hexa51cbcb4

2770123956 has 72 divisors (see below), whose sum is σ = 7164937920. Its totient is φ = 831249408.

The previous prime is 2770123949. The next prime is 2770123969. The reversal of 2770123956 is 6593210772.

2770123956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62400 + ... + 97128.

Almost surely, 22770123956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2770123956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582468960).

2770123956 is an abundant number, since it is smaller than the sum of its proper divisors (4394813964).

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

2770123956 is a wasteful number, since it uses less digits than its factorization.

2770123956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34793 (or 34774 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2770123956 is about 52631.9670542533. The cubic root of 2770123956 is about 1404.4288245385.

The spelling of 2770123956 in words is "two billion, seven hundred seventy million, one hundred twenty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 289 391 578 782 867 1156 1173 1564 1734 2346 3468 4692 6647 13294 19941 26588 34729 39882 69458 79764 104187 138916 208374 416748 590393 798767 1180786 1597534 1771179 2361572 2396301 3195068 3542358 4792602 7084716 9585204 10036681 13579039 20073362 27158078 30110043 40146724 40737117 54316156 60220086 81474234 120440172 162948468 230843663 461687326 692530989 923374652 1385061978 2770123956