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1300114464 = 253117691601
BaseRepresentation
bin100110101111110…
…0010110000100000
310100121101122202120
41031133202300200
510130312130324
6333001544240
744134535115
oct11537426040
93317348676
101300114464
11607976270
123034a5080
131794780cc
14c495090c
1579214179
hex4d7e2c20

1300114464 has 96 divisors (see below), whose sum is σ = 3730224960. Its totient is φ = 393216000.

The previous prime is 1300114397. The next prime is 1300114477. The reversal of 1300114464 is 4644110031.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811264 + ... + 812864.

It is an arithmetic number, because the mean of its divisors is an integer number (38856510).

Almost surely, 21300114464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300114464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865112480).

1300114464 is an abundant number, since it is smaller than the sum of its proper divisors (2430110496).

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

1300114464 is a wasteful number, since it uses less digits than its factorization.

1300114464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1300114464 is about 36057.1000497822. The cubic root of 1300114464 is about 1091.4249142223.

Adding to 1300114464 its reverse (4644110031), we get a palindrome (5944224495).

The spelling of 1300114464 in words is "one billion, three hundred million, one hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 769 1056 1538 1601 2307 3076 3202 4614 4803 6152 6404 8459 9228 9606 12304 12808 16918 17611 18456 19212 24608 25377 25616 33836 35222 36912 38424 50754 51232 52833 67672 70444 73824 76848 101508 105666 135344 140888 153696 203016 211332 270688 281776 406032 422664 563552 812064 845328 1231169 1690656 2462338 3693507 4924676 7387014 9849352 13542859 14774028 19698704 27085718 29548056 39397408 40628577 54171436 59096112 81257154 108342872 118192224 162514308 216685744 325028616 433371488 650057232 1300114464