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2062080832 = 26771241269
BaseRepresentation
bin111101011101000…
…1101101101000000
312022201011120010011
41322322031231000
513210343041312
6540341314304
7102046253320
oct17272155500
95281146104
102062080832
11968a99939
12496705994
1326b2a2496
14157c19280
15c1076da7
hex7ae8db40

2062080832 has 112 divisors (see below), whose sum is σ = 4779751680. Its totient is φ = 864460800.

The previous prime is 2062080829. The next prime is 2062080833. The reversal of 2062080832 is 2380802602.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2062080794 and 2062080803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2062080833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7665594 + ... + 7665862.

Almost surely, 22062080832 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 2062080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389875840).

2062080832 is an abundant number, since it is smaller than the sum of its proper divisors (2717670848).

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

2062080832 is a wasteful number, since it uses less digits than its factorization.

2062080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2062080832 is about 45410.1401891692. The cubic root of 2062080832 is about 1272.8246040889.

The spelling of 2062080832 in words is "two billion, sixty-two million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 241 269 284 448 482 497 538 568 964 994 1076 1136 1687 1883 1928 1988 2152 2272 3374 3766 3856 3976 4304 4544 6748 7532 7712 7952 8608 13496 15064 15424 15904 17111 17216 19099 26992 30128 31808 34222 38198 53984 60256 64829 68444 76396 107968 119777 120512 129658 133693 136888 152792 239554 259316 267386 273776 305584 453803 479108 518632 534772 547552 611168 907606 958216 1037264 1069544 1095104 1222336 1815212 1916432 2074528 2139088 3630424 3832864 4149056 4278176 4602859 7260848 7665728 8556352 9205718 14521696 18411436 29043392 32220013 36822872 64440026 73645744 128880052 147291488 257760104 294582976 515520208 1031040416 2062080832