Search a number
-
+
1230373632 = 2833151679
BaseRepresentation
bin100100101010110…
…0000001100000000
310011202011110022210
41021111200030000
510004433424012
6322031102120
742330001065
oct11125401400
93152143283
101230373632
11581571a14
122a4071940
13167b9a547
14b9598c6c
157303a23c
hex49560300

1230373632 has 72 divisors (see below), whose sum is σ = 3380285440. Its totient is φ = 396887040.

The previous prime is 1230373631. The next prime is 1230373687. The reversal of 1230373632 is 2363730321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1230373632.

It is not an unprimeable number, because it can be changed into a prime (1230373631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2032 + ... + 49647.

Almost surely, 21230373632 is an apocalyptic number.

1230373632 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 1230373632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690142720).

1230373632 is an abundant number, since it is smaller than the sum of its proper divisors (2149911808).

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

1230373632 is an equidigital number, since it uses as much as digits as its factorization.

1230373632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51729 (or 51715 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 1230373632 is about 35076.6821692132. The cubic root of 1230373632 is about 1071.5497477982.

The spelling of 1230373632 in words is "one billion, two hundred thirty million, three hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 51679 103358 155037 206716 310074 413432 620148 826864 1240296 1602049 1653728 2480592 3204098 3307456 4806147 4961184 6408196 6614912 9612294 9922368 12816392 13229824 19224588 19844736 25632784 38449176 39689472 51265568 76898352 102531136 153796704 205062272 307593408 410124544 615186816 1230373632