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1301302320 = 24356778009
BaseRepresentation
bin100110110010000…
…0100110000110000
310100200122000012020
41031210010300300
510131113133240
6333043231440
744150613213
oct11544046060
93320560166
101301302320
1160860776a
12303978580
131797a2996
14c4b7d77a
157939b0d0
hex4d904c30

1301302320 has 80 divisors (see below), whose sum is σ = 4040500320. Its totient is φ = 346458112.

The previous prime is 1301302273. The next prime is 1301302339. The reversal of 1301302320 is 232031031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301302320.

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 15 ways as a sum of consecutive naturals, for example, 158476 + ... + 166484.

It is an arithmetic number, because the mean of its divisors is an integer number (50506254).

Almost surely, 21301302320 is an apocalyptic number.

1301302320 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 1301302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020250160).

1301302320 is an abundant number, since it is smaller than the sum of its proper divisors (2739198000).

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

1301302320 is a wasteful number, since it uses less digits than its factorization.

1301302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1301302320 is about 36073.5681628530. The cubic root of 1301302320 is about 1091.7572082962.

Adding to 1301302320 its reverse (232031031), we get a palindrome (1533333351).

The spelling of 1301302320 in words is "one billion, three hundred one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 677 1354 2031 2708 3385 4062 5416 6770 8009 8124 10155 10832 13540 16018 16248 20310 24027 27080 32036 32496 40045 40620 48054 54160 64072 80090 81240 96108 120135 128144 160180 162480 192216 240270 320360 384432 480540 640720 961080 1922160 5422093 10844186 16266279 21688372 27110465 32532558 43376744 54220930 65065116 81331395 86753488 108441860 130130232 162662790 216883720 260260464 325325580 433767440 650651160 1301302320