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1297997120 = 26574712329
BaseRepresentation
bin100110101011101…
…1101110101000000
310100110102002022102
41031113131311000
510124241401440
6332444325532
744110536110
oct11527356500
93313362272
101297997120
1160675a4a2
123028438a8
13178bb6444
14c455d040
1578e46b15
hex4d5ddd40

1297997120 has 112 divisors (see below), whose sum is σ = 3607856640. Its totient is φ = 435523584.

The previous prime is 1297997119. The next prime is 1297997137. The reversal of 1297997120 is 217997921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 99116 + ... + 111444.

Almost surely, 21297997120 is an apocalyptic number.

1297997120 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 1297997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803928320).

1297997120 is an abundant number, since it is smaller than the sum of its proper divisors (2309859520).

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

1297997120 is a wasteful number, since it uses less digits than its factorization.

1297997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12400 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 47.

The square root of 1297997120 is about 36027.7271001100. The cubic root of 1297997120 is about 1090.8321003578.

The spelling of 1297997120 in words is "one billion, two hundred ninety-seven million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 140 160 188 224 235 280 320 329 376 448 470 560 658 752 940 1120 1316 1504 1645 1880 2240 2632 3008 3290 3760 5264 6580 7520 10528 12329 13160 15040 21056 24658 26320 49316 52640 61645 86303 98632 105280 123290 172606 197264 246580 345212 394528 431515 493160 579463 690424 789056 863030 986320 1158926 1380848 1726060 1972640 2317852 2761696 2897315 3452120 3945280 4056241 4635704 5523392 5794630 6904240 8112482 9271408 11589260 13808480 16224964 18542816 20281205 23178520 27616960 32449928 37085632 40562410 46357040 64899856 81124820 92714080 129799712 162249640 185428160 259599424 324499280 648998560 1297997120