Search a number
-
+
1630029492 = 2232721371081
BaseRepresentation
bin110000100101000…
…0100011010110100
311012121012002002200
41201022010122310
511314241420432
6425425104500
755252010400
oct14112043264
94177162080
101630029492
11767122313
12395a88130
131cc91b2c0
141166b0100
1598181a7c
hex612846b4

1630029492 has 108 divisors (see below), whose sum is σ = 5161832676. Its totient is φ = 429891840.

The previous prime is 1630029451. The next prime is 1630029493. The reversal of 1630029492 is 2949200361.

1630029492 is a `hidden beast` number, since 163 + 0 + 0 + 2 + 9 + 492 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 773062416 + 856967076 = 27804^2 + 29274^2 .

It is a super-2 number, since 2×16300294922 = 5313992289579556128, 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 not an unprimeable number, because it can be changed into a prime (1630029493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12609 + ... + 58472.

It is an arithmetic number, because the mean of its divisors is an integer number (47794747).

Almost surely, 21630029492 is an apocalyptic number.

1630029492 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 1630029492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580916338).

1630029492 is an abundant number, since it is smaller than the sum of its proper divisors (3531803184).

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

1630029492 is a wasteful number, since it uses less digits than its factorization.

1630029492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71118 (or 71106 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1630029492 is about 40373.6237164810. The cubic root of 1630029492 is about 1176.8790196700.

The spelling of 1630029492 in words is "one billion, six hundred thirty million, twenty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 71081 142162 213243 284324 426486 497567 639729 852972 924053 995134 1279458 1492701 1848106 1990268 2558916 2772159 2985402 3482969 3696212 4478103 5544318 5970804 6468371 6965938 8316477 8956206 10448907 11088636 12936742 13931876 16632954 17912412 19405113 20897814 25873484 31346721 33265908 38810226 41795628 45278597 58215339 62693442 77620452 90557194 116430678 125386884 135835791 181114388 232861356 271671582 407507373 543343164 815014746 1630029492