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2077037028 = 22321119926357
BaseRepresentation
bin111101111001101…
…0001000111100100
312100202022102011100
41323303101013210
513223210141103
6542034040100
7102320344353
oct17363210744
95322272140
102077037028
11976484730
1249b719030
1327140abc1
14159bcd99a
15c252d5a3
hex7bcd11e4

2077037028 has 72 divisors (see below), whose sum is σ = 5756587200. Its totient is φ = 626218560.

The previous prime is 2077037009. The next prime is 2077037047. The reversal of 2077037028 is 8207307702.

It is an interprime number because it is at equal distance from previous prime (2077037009) and next prime (2077037047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2077036983 and 2077037001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 65626 + ... + 91982.

It is an arithmetic number, because the mean of its divisors is an integer number (79952600).

Almost surely, 22077037028 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 2077037028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878293600).

2077037028 is an abundant number, since it is smaller than the sum of its proper divisors (3679550172).

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

2077037028 is a wasteful number, since it uses less digits than its factorization.

2077037028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26577 (or 26572 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2077037028 is about 45574.5216979838. The cubic root of 2077037028 is about 1275.8944441202.

The spelling of 2077037028 in words is "two billion, seventy-seven million, thirty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 26357 39402 52714 78804 79071 105428 158142 237213 289927 316284 474426 579854 869781 948852 1159708 1739562 2609343 3479124 5218686 5245043 10437372 10490086 15735129 20980172 31470258 47205387 57695473 62940516 94410774 115390946 173086419 188821548 230781892 346172838 519259257 692345676 1038518514 2077037028