Search a number
-
+
1880141340 = 22357112914033
BaseRepresentation
bin111000000010000…
…1010111000011100
311212000211002001110
41300010022320130
512322304010330
6510321542020
764406636430
oct16004127034
94760732043
101880141340
11885322020
124457a4910
1323c69c88c
1413b9b89c0
15b00d8db0
hex7010ae1c

1880141340 has 192 divisors, whose sum is σ = 6790210560. Its totient is φ = 377180160.

The previous prime is 1880141323. The next prime is 1880141359. The reversal of 1880141340 is 431410881.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1880141298 and 1880141307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126964 + ... + 140996.

It is an arithmetic number, because the mean of its divisors is an integer number (35365680).

Almost surely, 21880141340 is an apocalyptic number.

1880141340 is a gapful number since it is divisible by the number (10) 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 1880141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395105280).

1880141340 is an abundant number, since it is smaller than the sum of its proper divisors (4910069220).

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

1880141340 is a wasteful number, since it uses less digits than its factorization.

1880141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1880141340 is about 43360.5966287366. The cubic root of 1880141340 is about 1234.2320872114.

The spelling of 1880141340 in words is "one billion, eight hundred eighty million, one hundred forty-one thousand, three hundred forty".