Search a number
-
+
1830970110 = 2351491572609
BaseRepresentation
bin110110100100010…
…0110001011111110
311201121021220210210
41231020212023332
512222212020420
6501404013250
763241663164
oct15510461376
94647256723
101830970110
1185a597a42
12431231226
13232444788
14135259234
15aab249e0
hex6d2262fe

1830970110 has 64 divisors (see below), whose sum is σ = 4453704000. Its totient is φ = 481708032.

The previous prime is 1830970109. The next prime is 1830970111. The reversal of 1830970110 is 110790381.

It is an interprime number because it is at equal distance from previous prime (1830970109) and next prime (1830970111).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830970111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700486 + ... + 703094.

It is an arithmetic number, because the mean of its divisors is an integer number (69589125).

Almost surely, 21830970110 is an apocalyptic number.

1830970110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1830970110 is an abundant number, since it is smaller than the sum of its proper divisors (2622733890).

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

1830970110 is a wasteful number, since it uses less digits than its factorization.

1830970110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1830970110 is about 42789.8365269137. The cubic root of 1830970110 is about 1223.3773011113.

The spelling of 1830970110 in words is "one billion, eight hundred thirty million, nine hundred seventy thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 149 157 298 314 447 471 745 785 894 942 1490 1570 2235 2355 2609 4470 4710 5218 7827 13045 15654 23393 26090 39135 46786 70179 78270 116965 140358 233930 350895 388741 409613 701790 777482 819226 1166223 1228839 1943705 2048065 2332446 2457678 3887410 4096130 5831115 6144195 11662230 12288390 61032337 122064674 183097011 305161685 366194022 610323370 915485055 1830970110