Search a number
-
+
1831287420 = 223359073739
BaseRepresentation
bin110110100100111…
…0011101001111100
311201121220001002000
41231021303221330
512222302144140
6501414502300
763244454244
oct15511635174
94647801060
101831287420
1185a794386
12431364990
13232526031
141352dcb24
15aab88a30
hex6d273a7c

1831287420 has 96 divisors (see below), whose sum is σ = 5705145600. Its totient is φ = 487674432.

The previous prime is 1831287391. The next prime is 1831287433. The reversal of 1831287420 is 247821381.

It is a super-2 number, since 2×18312874202 = 6707227229300512800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487911 + ... + 491649.

It is an arithmetic number, because the mean of its divisors is an integer number (59428600).

Almost surely, 21831287420 is an apocalyptic number.

1831287420 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 1831287420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852572800).

1831287420 is an abundant number, since it is smaller than the sum of its proper divisors (3873858180).

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

1831287420 is a wasteful number, since it uses less digits than its factorization.

1831287420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1831287420 is about 42793.5441392741. The cubic root of 1831287420 is about 1223.4479680994.

The spelling of 1831287420 in words is "one billion, eight hundred thirty-one million, two hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 907 1814 2721 3628 3739 4535 5442 7478 8163 9070 10884 11217 13605 14956 16326 18140 18695 22434 24489 27210 32652 33651 37390 40815 44868 48978 54420 56085 67302 74780 81630 97956 100953 112170 122445 134604 163260 168255 201906 224340 244890 336510 403812 489780 504765 673020 1009530 2019060 3391273 6782546 10173819 13565092 16956365 20347638 30521457 33912730 40695276 50869095 61042914 67825460 91564371 101738190 122085828 152607285 183128742 203476380 305214570 366257484 457821855 610429140 915643710 1831287420