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13272406280 = 2357536131459
BaseRepresentation
bin11000101110001100…
…01101100100001000
31021020222101002121222
430113012031210020
5204140214000110
610033001421212
7646621410020
oct142706154410
937228332558
1013272406280
1156a0a22311
1226a4a9a808
13133695ab53
148dc9d8a80
1552a30ec55
hex31718d908

13272406280 has 128 divisors (see below), whose sum is σ = 34853587200. Its totient is φ = 4454341632.

The previous prime is 13272406267. The next prime is 13272406283. The reversal of 13272406280 is 8260427231.

It is a super-2 number, since 2×132724062802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13272406280.

It is not an unprimeable number, because it can be changed into a prime (13272406283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9096191 + ... + 9097649.

It is an arithmetic number, because the mean of its divisors is an integer number (272293650).

Almost surely, 213272406280 is an apocalyptic number.

13272406280 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 13272406280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426793600).

13272406280 is an abundant number, since it is smaller than the sum of its proper divisors (21581180920).

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

13272406280 is a wasteful number, since it uses less digits than its factorization.

13272406280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 13272406280 in words is "thirteen billion, two hundred seventy-two million, four hundred six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 613 742 1060 1226 1459 1484 1855 2120 2452 2918 2968 3065 3710 4291 4904 5836 6130 7295 7420 8582 10213 11672 12260 14590 14840 17164 20426 21455 24520 29180 32489 34328 40852 42910 51065 58360 64978 77327 81704 85820 102130 129956 154654 162445 171640 204260 227423 259912 309308 324890 386635 408520 454846 541289 618616 649780 773270 894367 909692 1082578 1137115 1299560 1546540 1788734 1819384 2165156 2274230 2706445 3093080 3577468 4330312 4471835 4548460 5412890 6260569 7154936 8943670 9096920 10825780 12521138 17887340 21651560 25042276 31302845 35774680 47401451 50084552 62605690 94802902 125211380 189605804 237007255 250422760 331810157 379211608 474014510 663620314 948029020 1327240628 1659050785 1896058040 2654481256 3318101570 6636203140 13272406280