Search a number
-
+
1520386728 = 233748718583
BaseRepresentation
bin101101010011111…
…0100001010101000
310220221212122111120
41122213310022220
511103204333403
6410511055240
752451034240
oct13247641250
93827778446
101520386728
11710245063
12365211520
131b2cac723
14105cccb20
158d724e53
hex5a9f42a8

1520386728 has 64 divisors (see below), whose sum is σ = 4353116160. Its totient is φ = 433480896.

The previous prime is 1520386727. The next prime is 1520386729. The reversal of 1520386728 is 8276830251.

It is an interprime number because it is at equal distance from previous prime (1520386727) and next prime (1520386729).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1520386728.

It is not an unprimeable number, because it can be changed into a prime (1520386727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72525 + ... + 91107.

It is an arithmetic number, because the mean of its divisors is an integer number (68017440).

Almost surely, 21520386728 is an apocalyptic number.

It is an amenable number.

1520386728 is an abundant number, since it is smaller than the sum of its proper divisors (2832729432).

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

1520386728 is a wasteful number, since it uses less digits than its factorization.

1520386728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19086 (or 19082 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1520386728 is about 38992.1367457594. The cubic root of 1520386728 is about 1149.8769189006.

It can be divided in two parts, 152038 and 6728, that added together give a triangular number (158766 = T563).

The spelling of 1520386728 in words is "one billion, five hundred twenty million, three hundred eighty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 487 974 1461 1948 2922 3409 3896 5844 6818 10227 11688 13636 18583 20454 27272 37166 40908 55749 74332 81816 111498 130081 148664 222996 260162 390243 445992 520324 780486 1040648 1560972 3121944 9049921 18099842 27149763 36199684 54299526 63349447 72399368 108599052 126698894 190048341 217198104 253397788 380096682 506795576 760193364 1520386728