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2687132190 = 235197364579
BaseRepresentation
bin1010000000101010…
…0110001000011110
320221021022110101110
42200022212020132
521000401212230
61122350322450
7123406150431
oct24012461036
96837273343
102687132190
1111598a8206
1262bab9426
1333a92c762
141b6c43818
1510ad924b0
hexa02a621e

2687132190 has 64 divisors (see below), whose sum is σ = 6881644800. Its totient is φ = 669544704.

The previous prime is 2687132177. The next prime is 2687132219. The reversal of 2687132190 is 912317862.

It is a super-2 number, since 2×26871321902 = 14441358813068392200, which contains 22 as substring.

It is a Curzon number.

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, 9321 + ... + 73899.

It is an arithmetic number, because the mean of its divisors is an integer number (107525700).

Almost surely, 22687132190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687132190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440822400).

2687132190 is an abundant number, since it is smaller than the sum of its proper divisors (4194512610).

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

2687132190 is a wasteful number, since it uses less digits than its factorization.

2687132190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64681.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2687132190 is about 51837.5557872861. Note that the first 3 decimals coincide. The cubic root of 2687132190 is about 1390.2610123511.

The spelling of 2687132190 in words is "two billion, six hundred eighty-seven million, one hundred thirty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 219 285 365 438 570 730 1095 1387 2190 2774 4161 6935 8322 13870 20805 41610 64579 129158 193737 322895 387474 645790 968685 1227001 1937370 2454002 3681003 4714267 6135005 7362006 9428534 12270010 14142801 18405015 23571335 28285602 36810030 47142670 70714005 89571073 141428010 179142146 268713219 447855365 537426438 895710730 1343566095 2687132190