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1300163424 = 25373752291
BaseRepresentation
bin100110101111110…
…1110101101100000
310100121111010220220
41031133232231200
510130320212144
6333003003040
744135130630
oct11537565540
93317433826
101300163424
116079aa02a
12303509480
13179494491
14c49646c0
1579223919
hex4d7eeb60

1300163424 has 96 divisors (see below), whose sum is σ = 4005985536. Its totient is φ = 361428480.

The previous prime is 1300163419. The next prime is 1300163441. The reversal of 1300163424 is 4243610031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1300163394 and 1300163403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282 + ... + 51009.

It is an arithmetic number, because the mean of its divisors is an integer number (41729016).

Almost surely, 21300163424 is an apocalyptic number.

1300163424 is a gapful number since it is divisible by the number (14) 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 1300163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002992768).

1300163424 is an abundant number, since it is smaller than the sum of its proper divisors (2705822112).

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

1300163424 is a wasteful number, since it uses less digits than its factorization.

1300163424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52348 (or 52340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1300163424 is about 36057.7789665420. The cubic root of 1300163424 is about 1091.4386144245.

Adding to 1300163424 its reverse (4243610031), we get a palindrome (5543773455).

The spelling of 1300163424 in words is "one billion, three hundred million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 52291 104582 156873 209164 313746 366037 418328 627492 732074 836656 1098111 1254984 1464148 1673312 1934767 2196222 2509968 2928296 3869534 4392444 5019936 5804301 5856592 7739068 8784888 11608602 11713184 13543369 15478136 17569776 23217204 27086738 30956272 35139552 40630107 46434408 54173476 61912544 81260214 92868816 108346952 162520428 185737632 216693904 325040856 433387808 650081712 1300163424