Search a number
-
+
1272038208 = 26372294133
BaseRepresentation
bin100101111010001…
…1100001101000000
310021122120020101020
41023310130031000
510101120210313
6330120105440
743344101130
oct11364341500
93248506336
101272038208
115a303a151
122b6005280
131736c793c
14c0d22ac0
1576a1a323
hex4bd1c340

1272038208 has 112 divisors (see below), whose sum is σ = 3864132480. Its totient is φ = 361764864.

The previous prime is 1272038189. The next prime is 1272038231. The reversal of 1272038208 is 8028302721.

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

It is a super-2 number, since 2×12720382082 = 3236162405223702528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305710 + ... + 309842.

Almost surely, 21272038208 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 1272038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932066240).

1272038208 is an abundant number, since it is smaller than the sum of its proper divisors (2592094272).

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

1272038208 is a wasteful number, since it uses less digits than its factorization.

1272038208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1272038208 is about 35665.6446457932. The cubic root of 1272038208 is about 1083.5111515188.

The spelling of 1272038208 in words is "one billion, two hundred seventy-two million, thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 229 336 448 458 672 687 916 1344 1374 1603 1832 2748 3206 3664 4133 4809 5496 6412 7328 8266 9618 10992 12399 12824 14656 16532 19236 21984 24798 25648 28931 33064 38472 43968 49596 51296 57862 66128 76944 86793 99192 102592 115724 132256 153888 173586 198384 231448 264512 307776 347172 396768 462896 694344 793536 925792 946457 1388688 1851584 1892914 2777376 2839371 3785828 5554752 5678742 6625199 7571656 11357484 13250398 15143312 19875597 22714968 26500796 30286624 39751194 45429936 53001592 60573248 79502388 90859872 106003184 159004776 181719744 212006368 318009552 424012736 636019104 1272038208