Search a number
-
+
1630630092 = 2237136912161
BaseRepresentation
bin110000100110001…
…0111000011001100
311012122022120222010
41201030113003030
511314420130332
6425450021220
755260061410
oct14114270314
94178276863
101630630092
117674a2583
12396117810
131cca9b7a0
141167c8d40
159824e9cc
hex613170cc

1630630092 has 96 divisors (see below), whose sum is σ = 4691782144. Its totient is φ = 429235200.

The previous prime is 1630630063. The next prime is 1630630093. The reversal of 1630630092 is 2900360361.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1630630093) 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 31 ways as a sum of consecutive naturals, for example, 753492 + ... + 755652.

Almost surely, 21630630092 is an apocalyptic number.

1630630092 is a gapful number since it is divisible by the number (12) 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 1630630092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345891072).

1630630092 is an abundant number, since it is smaller than the sum of its proper divisors (3061152052).

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

1630630092 is a wasteful number, since it uses less digits than its factorization.

1630630092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 1630630092 is about 40381.0610558960. The cubic root of 1630630092 is about 1177.0235460415.

The spelling of 1630630092 in words is "one billion, six hundred thirty million, six hundred thirty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 691 1092 1382 2073 2161 2764 4146 4322 4837 6483 8292 8644 8983 9674 12966 14511 15127 17966 19348 25932 26949 28093 29022 30254 35932 45381 53898 56186 58044 60508 62881 84279 90762 107796 112372 125762 168558 181524 188643 196651 251524 337116 377286 393302 589953 754572 786604 1179906 1493251 2359812 2986502 4479753 5973004 8959506 10452757 17919012 19412263 20905514 31358271 38824526 41811028 58236789 62716542 77649052 116473578 125433084 135885841 232947156 271771682 407657523 543543364 815315046 1630630092