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185740140 = 223513922271
BaseRepresentation
bin10110001001000…
…10101101101100
3110221111120120110
423010202231230
5340022141030
630233020020
74413523305
oct1304425554
9427446513
10185740140
1195933353
1252254610
132c633811
141a94d7ac
151148e1b0
hexb122b6c

185740140 has 48 divisors (see below), whose sum is σ = 523837440. Its totient is φ = 49172160.

The previous prime is 185740133. The next prime is 185740141. The reversal of 185740140 is 41047581.

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 = 185740098 and 185740107.

It is not an unprimeable number, because it can be changed into a prime (185740141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2796 + ... + 19475.

It is an arithmetic number, because the mean of its divisors is an integer number (10913280).

Almost surely, 2185740140 is an apocalyptic number.

185740140 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 185740140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261918720).

185740140 is an abundant number, since it is smaller than the sum of its proper divisors (338097300).

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

185740140 is a wasteful number, since it uses less digits than its factorization.

185740140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22422 (or 22420 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 185740140 is about 13628.6514373213. The cubic root of 185740140 is about 570.5607900415.

The spelling of 185740140 in words is "one hundred eighty-five million, seven hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 22271 44542 66813 89084 111355 133626 222710 267252 334065 445420 668130 1336260 3095669 6191338 9287007 12382676 15478345 18574014 30956690 37148028 46435035 61913380 92870070 185740140