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1272029696 = 297311072
BaseRepresentation
bin100101111010001…
…1010001000000000
310021122112210200222
41023310122020000
510101114422241
6330120002212
743344034250
oct11364321000
93248483628
101272029696
115a3033813
122b6000368
131736c3ac2
14c0d1d960
1576a17a4b
hex4bd1a200

1272029696 has 120 divisors (see below), whose sum is σ = 3026639616. Its totient is φ = 522639360.

The previous prime is 1272029659. The next prime is 1272029699. The reversal of 1272029696 is 6969202721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272029699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11888075 + ... + 11888181.

Almost surely, 21272029696 is an apocalyptic number.

1272029696 is a gapful number since it is divisible by the number (16) 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 1272029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513319808).

1272029696 is an abundant number, since it is smaller than the sum of its proper divisors (1754609920).

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

1272029696 is an frugal number, since it uses more digits than its factorization.

1272029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 1272029696 is about 35665.5253150714. The cubic root of 1272029696 is about 1083.5087346974.

The spelling of 1272029696 in words is "one billion, two hundred seventy-two million, twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 107 112 124 128 214 217 224 248 256 428 434 448 496 512 749 856 868 896 992 1498 1712 1736 1792 1984 2996 3317 3424 3472 3584 3968 5992 6634 6848 6944 7936 11449 11984 13268 13696 13888 15872 22898 23219 23968 26536 27392 27776 45796 46438 47936 53072 54784 55552 80143 91592 92876 95872 106144 111104 160286 183184 185752 191744 212288 320572 354919 366368 371504 383488 424576 641144 709838 732736 743008 849152 1282288 1419676 1465472 1486016 1698304 2484433 2564576 2839352 2930944 2972032 4968866 5129152 5678704 5861888 5944064 9937732 10258304 11357408 11888128 19875464 20516608 22714816 39750928 41033216 45429632 79501856 90859264 159003712 181718528 318007424 636014848 1272029696