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1336103080 = 2351329412161
BaseRepresentation
bin100111110100011…
…0101000010101000
310110010010001212021
41033220311002220
510214020244310
6340325154224
745052455154
oct11750650250
93403101767
101336103080
11626217024
1231355b974
13183a68b50
14c963c064
157c4725da
hex4fa350a8

1336103080 has 128 divisors (see below), whose sum is σ = 3432391200. Its totient is φ = 464486400.

The previous prime is 1336103071. The next prime is 1336103101. The reversal of 1336103080 is 803016331.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8375236 + 1327727844 = 2894^2 + 36438^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617200 + ... + 619360.

Almost surely, 21336103080 is an apocalyptic number.

1336103080 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 1336103080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716195600).

1336103080 is an abundant number, since it is smaller than the sum of its proper divisors (2096288120).

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

1336103080 is a wasteful number, since it uses less digits than its factorization.

1336103080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1336103080 is about 36552.7438094598. The cubic root of 1336103080 is about 1101.4040143489.

The spelling of 1336103080 in words is "one billion, three hundred thirty-six million, one hundred three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 41 52 58 65 82 104 116 130 145 164 205 232 260 290 328 377 410 520 533 580 754 820 1066 1160 1189 1508 1640 1885 2132 2161 2378 2665 3016 3770 4264 4322 4756 5330 5945 7540 8644 9512 10660 10805 11890 15080 15457 17288 21320 21610 23780 28093 30914 43220 47560 56186 61828 62669 77285 86440 88601 112372 123656 125338 140465 154570 177202 224744 250676 280930 309140 313345 354404 443005 501352 561860 618280 626690 708808 814697 886010 1123720 1151813 1253380 1629394 1772020 2303626 2506760 2569429 3258788 3544040 4073485 4607252 5138858 5759065 6517576 8146970 9214504 10277716 11518130 12847145 16293940 20555432 23036260 25694290 32587880 33402577 46072520 51388580 66805154 102777160 133610308 167012885 267220616 334025770 668051540 1336103080