Search a number
-
+
1301232320 = 26529281499
BaseRepresentation
bin100110110001111…
…0011101011000000
310100200111110011122
41031203303223000
510131103413240
6333041531412
744150202143
oct11543635300
93320443148
101301232320
1160856a113
12303943b68
13179779b6b
14c4b6205a
15793854b5
hex4d8f3ac0

1301232320 has 112 divisors (see below), whose sum is σ = 3223260000. Its totient is φ = 499752960.

The previous prime is 1301232313. The next prime is 1301232323. The reversal of 1301232320 is 232321031.

It is a super-2 number, since 2×13012323202 = 3386411101225164800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1301232323) 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, 2607431 + ... + 2607929.

Almost surely, 21301232320 is an apocalyptic number.

1301232320 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 1301232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611630000).

1301232320 is an abundant number, since it is smaller than the sum of its proper divisors (1922027680).

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

1301232320 is a wasteful number, since it uses less digits than its factorization.

1301232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1301232320 is about 36072.5979103252. The cubic root of 1301232320 is about 1091.7376319140.

Adding to 1301232320 its reverse (232321031), we get a palindrome (1533553351).

The spelling of 1301232320 in words is "one billion, three hundred one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 281 290 320 464 499 562 580 928 998 1124 1160 1405 1856 1996 2248 2320 2495 2810 3992 4496 4640 4990 5620 7984 8149 8992 9280 9980 11240 14471 15968 16298 17984 19960 22480 28942 31936 32596 39920 40745 44960 57884 65192 72355 79840 81490 89920 115768 130384 140219 144710 159680 162980 231536 260768 280438 289420 325960 463072 521536 560876 578840 651920 701095 926144 1121752 1157680 1303840 1402190 2243504 2315360 2607680 2804380 4066351 4487008 4630720 5608760 8132702 8974016 11217520 16265404 20331755 22435040 32530808 40663510 44870080 65061616 81327020 130123232 162654040 260246464 325308080 650616160 1301232320