Search a number
-
+
1300159840 = 25573137447
BaseRepresentation
bin100110101111110…
…1101110101100000
310100121110222000011
41031133231311200
510130320103330
6333002534304
744135114320
oct11537556540
93317428004
101300159840
116079a7371
12303507394
13179492965
14c4963280
157922282a
hex4d7edd60

1300159840 has 96 divisors (see below), whose sum is σ = 3623768064. Its totient is φ = 431377920.

The previous prime is 1300159829. The next prime is 1300159841. The reversal of 1300159840 is 489510031.

It is a super-3 number, since 3×13001598403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300159841) 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, 15997 + ... + 53443.

It is an arithmetic number, because the mean of its divisors is an integer number (37747584).

Almost surely, 21300159840 is an apocalyptic number.

1300159840 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 1300159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811884032).

1300159840 is an abundant number, since it is smaller than the sum of its proper divisors (2323608224).

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

1300159840 is a wasteful number, since it uses less digits than its factorization.

1300159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37500 (or 37492 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1300159840 is about 36057.7292684939. The cubic root of 1300159840 is about 1091.4376115455.

Adding to 1300159840 its reverse (489510031), we get a palindrome (1789669871).

The spelling of 1300159840 in words is "one billion, three hundred million, one hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 37447 74894 149788 187235 262129 299576 374470 524258 599152 748940 1048516 1160857 1198304 1310645 1497880 2097032 2321714 2621290 2995760 4194064 4643428 5242580 5804285 5991520 8125999 8388128 9286856 10485160 11608570 16251998 18573712 20970320 23217140 32503996 37147424 40629995 41940640 46434280 65007992 81259990 92868560 130015984 162519980 185737120 260031968 325039960 650079920 1300159840