Search a number
-
+
1904770140 = 22357213194361
BaseRepresentation
bin111000110001000…
…0111110001011100
311220202011100102020
41301202013301130
512400110121030
6513001500140
765126164500
oct16142076134
94822140366
101904770140
11898213aa9
12451aa1650
13244813b30
14140d8a300
15b2351510
hex71887c5c

1904770140 has 576 divisors, whose sum is σ = 7314531840. Its totient is φ = 365783040.

The previous prime is 1904770123. The next prime is 1904770157. The reversal of 1904770140 is 410774091.

It is an interprime number because it is at equal distance from previous prime (1904770123) and next prime (1904770157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31225710 + ... + 31225770.

It is an arithmetic number, because the mean of its divisors is an integer number (12698840).

Almost surely, 21904770140 is an apocalyptic number.

1904770140 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 1904770140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657265920).

1904770140 is an abundant number, since it is smaller than the sum of its proper divisors (5409761700).

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

1904770140 is a wasteful number, since it uses less digits than its factorization.

1904770140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1904770140 is about 43643.6723936013. The cubic root of 1904770140 is about 1239.5979749443.

The spelling of 1904770140 in words is "one billion, nine hundred four million, seven hundred seventy thousand, one hundred forty".