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2776132020 = 22351132411699
BaseRepresentation
bin1010010101111000…
…0110100110110100
321011110210010012110
42211132012212310
521141142211040
61135250051020
7125536506234
oct24536064664
97143703173
102776132020
1111a5066092
12655879a70
133531c138c
141c49adcc4
15113ac2980
hexa57869b4

2776132020 has 96 divisors (see below), whose sum is σ = 7879132800. Its totient is φ = 730275840.

The previous prime is 2776132019. The next prime is 2776132031. The reversal of 2776132020 is 202316772.

2776132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633131 + ... + 1634829.

It is an arithmetic number, because the mean of its divisors is an integer number (82074300).

Almost surely, 22776132020 is an apocalyptic number.

2776132020 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 2776132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939566400).

2776132020 is an abundant number, since it is smaller than the sum of its proper divisors (5103000780).

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

2776132020 is a wasteful number, since it uses less digits than its factorization.

2776132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2776132020 is about 52689.0123270497. The cubic root of 2776132020 is about 1405.4434368175.

Adding to 2776132020 its reverse (202316772), we get a palindrome (2978448792).

The spelling of 2776132020 in words is "two billion, seven hundred seventy-six million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 241 339 452 482 565 678 723 964 1130 1205 1356 1446 1695 1699 2260 2410 2892 3390 3398 3615 4820 5097 6780 6796 7230 8495 10194 14460 16990 20388 25485 27233 33980 50970 54466 81699 101940 108932 136165 163398 191987 272330 326796 383974 408495 409459 544660 575961 767948 816990 818918 959935 1151922 1228377 1633980 1637836 1919870 2047295 2303844 2456754 2879805 3839740 4094590 4913508 5759610 6141885 8189180 11519220 12283770 24567540 46268867 92537734 138806601 185075468 231344335 277613202 462688670 555226404 694033005 925377340 1388066010 2776132020