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1042000152 = 233478271117
BaseRepresentation
bin111110000110111…
…010100100011000
32200121201002111020
4332012322210120
54113223001102
6251221402440
734551566214
oct7606724430
92617632436
101042000152
11495200156
12250b69420
13137b5424b
149c561944
156172abbc
hex3e1ba918

1042000152 has 64 divisors (see below), whose sum is σ = 2666027520. Its totient is φ = 339228288.

The previous prime is 1042000129. The next prime is 1042000171. The reversal of 1042000152 is 2510002401.

1042000152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932298 + ... + 933414.

It is an arithmetic number, because the mean of its divisors is an integer number (41656680).

Almost surely, 21042000152 is an apocalyptic number.

1042000152 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 1042000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333013760).

1042000152 is an abundant number, since it is smaller than the sum of its proper divisors (1624027368).

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

1042000152 is a wasteful number, since it uses less digits than its factorization.

1042000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1042000152 is about 32280.0271375351. The cubic root of 1042000152 is about 1013.8084983953.

Adding to 1042000152 its reverse (2510002401), we get a palindrome (3552002553).

The spelling of 1042000152 in words is "one billion, forty-two million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 827 1117 1128 1654 2234 2481 3308 3351 4468 4962 6616 6702 8936 9924 13404 19848 26808 38869 52499 77738 104998 116607 155476 157497 209996 233214 310952 314994 419992 466428 629988 923759 932856 1259976 1847518 2771277 3695036 5542554 7390072 11085108 22170216 43416673 86833346 130250019 173666692 260500038 347333384 521000076 1042000152