[go: up one dir, main page]

Search a number
-
+
1619095140 = 2232513691921
BaseRepresentation
bin110000010000001…
…0110111001100100
311011211121112222200
41200200112321210
511303442021030
6424354454500
755060036665
oct14040267144
94154545880
101619095140
11760a34163
12392294430
131ca590380
1411506536c
1597221d60
hex60816e64

1619095140 has 72 divisors (see below), whose sum is σ = 5289051768. Its totient is φ = 398545920.

The previous prime is 1619095087. The next prime is 1619095141. The reversal of 1619095140 is 415909161.

It can be written as a sum of positive squares in 4 ways, for example, as 43322724 + 1575772416 = 6582^2 + 39696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1619095095 and 1619095104.

It is not an unprimeable number, because it can be changed into a prime (1619095141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343621 + ... + 348300.

Almost surely, 21619095140 is an apocalyptic number.

1619095140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1619095140 is an abundant number, since it is smaller than the sum of its proper divisors (3669956628).

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

1619095140 is a wasteful number, since it uses less digits than its factorization.

1619095140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691949 (or 691944 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1619095140 is about 40237.9813111940. The cubic root of 1619095140 is about 1174.2415845184.

The spelling of 1619095140 in words is "one billion, six hundred nineteen million, ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 691921 1383842 2075763 2767684 3459605 4151526 6227289 6919210 8303052 8994973 10378815 12454578 13838420 17989946 20757630 24909156 26984919 31136445 35979892 41515260 44974865 53969838 62272890 80954757 89949730 107939676 124545780 134924595 161909514 179899460 269849190 323819028 404773785 539698380 809547570 1619095140