Search a number
-
+
1528979380 = 2254143103421
BaseRepresentation
bin101101100100010…
…0101111110110100
310221120001012101221
41123020211332310
511112404320010
6411415200124
752614052555
oct13310457664
93846035357
101528979380
11715083925
12368076044
131b49ca836
141070c832c
158e370dda
hex5b225fb4

1528979380 has 96 divisors (see below), whose sum is σ = 3406411008. Its totient is φ = 575769600.

The previous prime is 1528979377. The next prime is 1528979393. The reversal of 1528979380 is 839798251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631570 + ... + 3631990.

It is an arithmetic number, because the mean of its divisors is an integer number (35483448).

Almost surely, 21528979380 is an apocalyptic number.

1528979380 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 1528979380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703205504).

1528979380 is an abundant number, since it is smaller than the sum of its proper divisors (1877431628).

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

1528979380 is a wasteful number, since it uses less digits than its factorization.

1528979380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 1528979380 is about 39102.1659246646. The cubic root of 1528979380 is about 1152.0390742357.

The spelling of 1528979380 in words is "one billion, five hundred twenty-eight million, nine hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 43 82 86 103 164 172 205 206 215 410 412 421 430 515 820 842 860 1030 1684 1763 2060 2105 3526 4210 4223 4429 7052 8420 8446 8815 8858 16892 17261 17630 17716 18103 21115 22145 34522 35260 36206 42230 43363 44290 69044 72412 84460 86305 86726 88580 90515 172610 173452 181030 181589 216815 345220 362060 363178 433630 726356 742223 867260 907945 1484446 1777883 1815890 1864609 2968892 3555766 3631780 3711115 3729218 7111532 7422230 7458436 8889415 9323045 14844460 17778830 18646090 35557660 37292180 76448969 152897938 305795876 382244845 764489690 1528979380