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2770096120 = 2351141433571
BaseRepresentation
bin1010010100011100…
…0100111111111000
321011001102110111121
42211013010333320
521133121033440
61134512435024
7125434266661
oct24507047770
97131373447
102770096120
1111a1713240
12653848a74
13351b89c3c
141c3c7c368
151132ce34a
hexa51c4ff8

2770096120 has 128 divisors (see below), whose sum is σ = 7129140480. Its totient is φ = 959616000.

The previous prime is 2770096117. The next prime is 2770096123. The reversal of 2770096120 is 216900772.

It is an interprime number because it is at equal distance from previous prime (2770096117) and next prime (2770096123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2770096123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773935 + ... + 777505.

It is an arithmetic number, because the mean of its divisors is an integer number (55696410).

Almost surely, 22770096120 is an apocalyptic number.

2770096120 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 2770096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564570240).

2770096120 is an abundant number, since it is smaller than the sum of its proper divisors (4359044360).

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

2770096120 is a wasteful number, since it uses less digits than its factorization.

2770096120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 2770096120 is about 52631.7026135389. The cubic root of 2770096120 is about 1404.4241203192.

Adding to 2770096120 its reverse (216900772), we get a palindrome (2986996892).

The spelling of 2770096120 in words is "two billion, seven hundred seventy million, ninety-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 43 44 55 82 86 88 110 164 172 205 215 220 328 344 410 430 440 451 473 820 860 902 946 1640 1720 1763 1804 1892 2255 2365 3526 3571 3608 3784 4510 4730 7052 7142 8815 9020 9460 14104 14284 17630 17855 18040 18920 19393 28568 35260 35710 38786 39281 70520 71420 77572 78562 96965 142840 146411 153553 155144 157124 193930 196405 292822 307106 314248 387860 392810 585644 614212 732055 767765 775720 785620 1171288 1228424 1464110 1535530 1571240 1610521 1689083 2928220 3071060 3221042 3378166 5856440 6142120 6295673 6442084 6756332 8052605 8445415 12591346 12884168 13512664 16105210 16890830 25182692 31478365 32210420 33781660 50365384 62956730 64420840 67563320 69252403 125913460 138504806 251826920 277009612 346262015 554019224 692524030 1385048060 2770096120