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2107150780 = 225759713593
BaseRepresentation
bin111110110011000…
…1001000110111100
312102211222100110111
41331212021012330
513303412311110
6545031315404
7103134325510
oct17546110674
95384870414
102107150780
11991482629
124a981bb64
132777228a7
1415dbcc140
15c4ecae8a
hex7d9891bc

2107150780 has 96 divisors (see below), whose sum is σ = 5216762880. Its totient is φ = 700008960.

The previous prime is 2107150769. The next prime is 2107150783. The reversal of 2107150780 is 870517012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107150783) 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, 584664 + ... + 588256.

It is an arithmetic number, because the mean of its divisors is an integer number (54341280).

Almost surely, 22107150780 is an apocalyptic number.

2107150780 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 2107150780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608381440).

2107150780 is an abundant number, since it is smaller than the sum of its proper divisors (3109612100).

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

2107150780 is a wasteful number, since it uses less digits than its factorization.

2107150780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 2107150780 is about 45903.7120503342. The cubic root of 2107150780 is about 1282.0310325650.

Adding to 2107150780 its reverse (870517012), we get a palindrome (2977667792).

The spelling of 2107150780 in words is "two billion, one hundred seven million, one hundred fifty thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 71 118 140 142 236 284 295 355 413 497 590 710 826 994 1180 1420 1652 1988 2065 2485 3593 4130 4189 4970 7186 8260 8378 9940 14372 16756 17965 20945 25151 29323 35930 41890 50302 58646 71860 83780 100604 117292 125755 146615 211987 251510 255103 293230 423974 503020 510206 586460 847948 1020412 1059935 1275515 1483909 1785721 2119870 2551030 2967818 3571442 4239740 5102060 5935636 7142884 7419545 8928605 14839090 15051077 17857210 29678180 30102154 35714420 60204308 75255385 105357539 150510770 210715078 301021540 421430156 526787695 1053575390 2107150780