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1630056132 = 2232196735569
BaseRepresentation
bin110000100101000…
…1010111011000100
311012121020102122100
41201022022323010
511314243244012
6425425432100
755252151145
oct14112127304
94177212570
101630056132
11767140331
12395a9b630
131cc92a473
141166b9acc
15981898dc
hex6128aec4

1630056132 has 72 divisors (see below), whose sum is σ = 4402143200. Its totient is φ = 507057408.

The previous prime is 1630056107. The next prime is 1630056137. The reversal of 1630056132 is 2316500361.

1630056132 is a `hidden beast` number, since 16 + 30 + 0 + 5 + 613 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1630056096 and 1630056105.

It is not an unprimeable number, because it can be changed into a prime (1630056137) 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 23 ways as a sum of consecutive naturals, for example, 28044 + ... + 63612.

Almost surely, 21630056132 is an apocalyptic number.

1630056132 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 1630056132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201071600).

1630056132 is an abundant number, since it is smaller than the sum of its proper divisors (2772087068).

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

1630056132 is a wasteful number, since it uses less digits than its factorization.

1630056132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35665 (or 35660 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1630056132 is about 40373.9536334999. The cubic root of 1630056132 is about 1176.8854309827.

Adding to 1630056132 its reverse (2316500361), we get a palindrome (3946556493).

The spelling of 1630056132 in words is "one billion, six hundred thirty million, fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3819 5092 7638 11457 15276 22914 35569 45828 71138 106707 142276 213414 320121 426828 640242 675811 1280484 1351622 2027433 2383123 2703244 4054866 4766246 6082299 7149369 8109732 9532492 12164598 14298738 21448107 24329196 28597476 42896214 45279337 85792428 90558674 135838011 181117348 271676022 407514033 543352044 815028066 1630056132