Search a number
-
+
1630040412 = 22371113135701
BaseRepresentation
bin110000100101000…
…0111000101011100
311012121012122002010
41201022013011130
511314242243122
6425425231220
755252054260
oct14112070534
94177178063
101630040412
1176712a540
12395a92510
131cc923270
141166b40a0
1598184e0c
hex6128715c

1630040412 has 96 divisors (see below), whose sum is σ = 5106737664. Its totient is φ = 390816000.

The previous prime is 1630040369. The next prime is 1630040437. The reversal of 1630040412 is 2140400361.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 55839 + ... + 79862.

It is an arithmetic number, because the mean of its divisors is an integer number (53195184).

Almost surely, 21630040412 is an apocalyptic number.

1630040412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1630040412 is an abundant number, since it is smaller than the sum of its proper divisors (3476697252).

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

1630040412 is a wasteful number, since it uses less digits than its factorization.

1630040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135739 (or 135737 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1630040412 is about 40373.7589530626. The cubic root of 1630040412 is about 1176.8816477390.

Adding to 1630040412 its reverse (2140400361), we get a palindrome (3770440773).

The spelling of 1630040412 in words is "one billion, six hundred thirty million, forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 135701 271402 407103 542804 814206 949907 1492711 1628412 1764113 1899814 2849721 2985422 3528226 3799628 4478133 5292339 5699442 5970844 7056452 8956266 10448977 10584678 11398884 12348791 17912532 19405243 20897954 21169356 24697582 31346931 37046373 38810486 41795908 49395164 58215729 62693862 74092746 77620972 116431458 125387724 135836701 148185492 232862916 271673402 407510103 543346804 815020206 1630040412