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1272550916 = 2271319374973
BaseRepresentation
bin100101111011001…
…1001011000000100
310021200112021200102
41023312121120010
510101233112131
6330135103232
743351334660
oct11366313004
93250467612
101272550916
115a335a37a
122b6211b18
13173847110
14c10178a0
1576abc1cb
hex4bd99604

1272550916 has 96 divisors (see below), whose sum is σ = 2963708160. Its totient is φ = 463947264.

The previous prime is 1272550913. The next prime is 1272550921. The reversal of 1272550916 is 6190552721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1272550916.

It is not an unprimeable number, because it can be changed into a prime (1272550913) 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, 253406 + ... + 258378.

It is an arithmetic number, because the mean of its divisors is an integer number (30871960).

Almost surely, 21272550916 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 1272550916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481854080).

1272550916 is an abundant number, since it is smaller than the sum of its proper divisors (1691157244).

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

1272550916 is a wasteful number, since it uses less digits than its factorization.

1272550916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 1272550916 is about 35672.8316229592. The cubic root of 1272550916 is about 1083.6567053793.

The spelling of 1272550916 in words is "one billion, two hundred seventy-two million, five hundred fifty thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 19 26 28 37 38 52 74 76 91 133 148 182 247 259 266 364 481 494 518 532 703 962 988 1036 1406 1729 1924 2812 3367 3458 4921 4973 6734 6916 9139 9842 9946 13468 18278 19684 19892 34811 36556 63973 64649 69622 94487 127946 129298 139244 184001 188974 255892 258596 368002 377948 452543 661409 736004 905086 1228331 1288007 1322818 1810172 2392013 2456662 2576014 2645636 3496019 4784026 4913324 5152028 6992038 8598317 9568052 13984076 16744091 17196634 24472133 33488182 34393268 45448247 48944266 66976364 90896494 97888532 181792988 318137729 636275458 1272550916