Search a number
-
+
152012420 = 22574171373
BaseRepresentation
bin10010000111110…
…00011010000100
3101121001000211122
421003320122010
5302403344140
623030053112
73524040620
oct1103703204
9347030748
10152012420
11788971aa
1242aaa198
1325654ba1
1416290180
15d52aab5
hex90f8684

152012420 has 96 divisors (see below), whose sum is σ = 380007936. Its totient is φ = 49996800.

The previous prime is 152012417. The next prime is 152012449. The reversal of 152012420 is 24210251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407354 + ... + 407726.

It is an arithmetic number, because the mean of its divisors is an integer number (3958416).

Almost surely, 2152012420 is an apocalyptic number.

152012420 is a gapful number since it is divisible by the number (10) 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 152012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

152012420 is an abundant number, since it is smaller than the sum of its proper divisors (227995516).

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

152012420 is a wasteful number, since it uses less digits than its factorization.

152012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152012420 is about 12329.3316931616. The cubic root of 152012420 is about 533.6948651154.

Adding to 152012420 its reverse (24210251), we get a palindrome (176222671).

The spelling of 152012420 in words is "one hundred fifty-two million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 71 82 140 142 164 205 284 287 355 373 410 497 574 710 746 820 994 1148 1420 1435 1492 1865 1988 2485 2611 2870 2911 3730 4970 5222 5740 5822 7460 9940 10444 11644 13055 14555 15293 20377 26110 26483 29110 30586 40754 52220 52966 58220 61172 76465 81508 101885 105932 107051 132415 152930 185381 203770 214102 264830 305860 370762 407540 428204 529660 535255 741524 926905 1070510 1085803 1853810 2141020 2171606 3707620 4343212 5429015 7600621 10858030 15201242 21716060 30402484 38003105 76006210 152012420