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1300093476 = 22311431132027
BaseRepresentation
bin100110101111101…
…1101101000100100
310100121100120222020
41031133131220210
510130310442401
6333001303140
744134416663
oct11537355044
93317316866
101300093476
11607961520
12303494ab0
1317946b6a6
14c4946dda
157920cd36
hex4d7dda24

1300093476 has 96 divisors (see below), whose sum is σ = 3417942528. Its totient is φ = 381212160.

The previous prime is 1300093471. The next prime is 1300093481. The reversal of 1300093476 is 6743900031.

It is an interprime number because it is at equal distance from previous prime (1300093471) and next prime (1300093481).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1300093471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640375 + ... + 642401.

It is an arithmetic number, because the mean of its divisors is an integer number (35603568).

Almost surely, 21300093476 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 1300093476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708971264).

1300093476 is an abundant number, since it is smaller than the sum of its proper divisors (2117849052).

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

1300093476 is a wasteful number, since it uses less digits than its factorization.

1300093476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1300093476 is about 36056.8090102272. The cubic root of 1300093476 is about 1091.4190411626.

The spelling of 1300093476 in words is "one billion, three hundred million, ninety-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 113 129 132 172 226 258 339 452 473 516 678 946 1243 1356 1419 1892 2027 2486 2838 3729 4054 4859 4972 5676 6081 7458 8108 9718 12162 14577 14916 19436 22297 24324 29154 44594 53449 58308 66891 87161 89188 106898 133782 160347 174322 213796 229051 261483 267564 320694 348644 458102 522966 641388 687153 916204 958771 1045932 1374306 1917542 2519561 2748612 2876313 3835084 5039122 5752626 7558683 9849193 10078244 11505252 15117366 19698386 29547579 30234732 39396772 59095158 108341123 118190316 216682246 325023369 433364492 650046738 1300093476