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1299949920 = 253252773259
BaseRepresentation
bin100110101111011…
…1010100101100000
310100121002022001100
41031132322211200
510130241344140
6332554234400
744133251313
oct11536724540
93317068040
101299949920
11607873685
12303425a00
1317941b249
14c490a97a
15791d0530
hex4d7ba960

1299949920 has 144 divisors (see below), whose sum is σ = 4453459920. Its totient is φ = 345295872.

The previous prime is 1299949883. The next prime is 1299949943. The reversal of 1299949920 is 299499921.

1299949920 is a `hidden beast` number, since 129 + 9 + 9 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397251 + ... + 400509.

It is an arithmetic number, because the mean of its divisors is an integer number (30926805).

Almost surely, 21299949920 is an apocalyptic number.

1299949920 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 1299949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226729960).

1299949920 is an abundant number, since it is smaller than the sum of its proper divisors (3153510000).

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

1299949920 is a wasteful number, since it uses less digits than its factorization.

1299949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 1299949920 is about 36054.8182633057. The cubic root of 1299949920 is about 1091.3788682771.

The spelling of 1299949920 in words is "one billion, two hundred ninety-nine million, nine hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 277 288 360 480 554 720 831 1108 1385 1440 1662 2216 2493 2770 3259 3324 4155 4432 4986 5540 6518 6648 8310 8864 9777 9972 11080 12465 13036 13296 16295 16620 19554 19944 22160 24930 26072 26592 29331 32590 33240 39108 39888 44320 48885 49860 52144 58662 65180 66480 78216 79776 97770 99720 104288 117324 130360 132960 146655 156432 195540 199440 234648 260720 293310 312864 391080 398880 469296 521440 586620 782160 902743 938592 1173240 1564320 1805486 2346480 2708229 3610972 4513715 4692960 5416458 7221944 8124687 9027430 10832916 13541145 14443888 16249374 18054860 21665832 27082290 28887776 32498748 36109720 40623435 43331664 54164580 64997496 72219440 81246870 86663328 108329160 129994992 144438880 162493740 216658320 259989984 324987480 433316640 649974960 1299949920