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2140774132 = 22732236997
BaseRepresentation
bin111111110011001…
…1001111011110100
312112012020121000211
41333212121323310
513341014233012
6552232115204
7104023165000
oct17746317364
95465217024
102140774132
119a9458322
124b8b35b04
13281695b73
14164461700
15c7e1d6a7
hex7f999ef4

2140774132 has 48 divisors (see below), whose sum is σ = 4389145600. Its totient is φ = 913229856.

The previous prime is 2140774117. The next prime is 2140774133. The reversal of 2140774132 is 2314770412.

It is a junction number, because it is equal to n+sod(n) for n = 2140774094 and 2140774103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140774133) 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, 302458 + ... + 309454.

Almost surely, 22140774132 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 2140774132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194572800).

2140774132 is an abundant number, since it is smaller than the sum of its proper divisors (2248371468).

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

2140774132 is a wasteful number, since it uses less digits than its factorization.

2140774132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 2140774132 is about 46268.5004295579. The cubic root of 2140774132 is about 1288.8141119662.

The spelling of 2140774132 in words is "two billion, one hundred forty million, seven hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 223 343 446 686 892 1372 1561 3122 6244 6997 10927 13994 21854 27988 43708 48979 76489 97958 152978 195916 305956 342853 685706 1371412 1560331 2399971 3120662 4799942 6241324 9599884 10922317 21844634 43689268 76456219 152912438 305824876 535193533 1070387066 2140774132