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1270086972 = 2237111519103
BaseRepresentation
bin100101110110011…
…1111110100111100
310021111220002210020
41023230333310330
510100120240342
6330010212140
743321363320
oct11354776474
93244802706
101270086972
115a1a27160
122b5424050
1317319376b
14c0975980
15767820ec
hex4bb3fd3c

1270086972 has 96 divisors (see below), whose sum is σ = 3719675904. Its totient is φ = 327672000.

The previous prime is 1270086967. The next prime is 1270086973. The reversal of 1270086972 is 2796800721.

It is a super-2 number, since 2×12700869722 = 3226241832888257568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270086973) 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, 134973 + ... + 144075.

It is an arithmetic number, because the mean of its divisors is an integer number (38746624).

Almost surely, 21270086972 is an apocalyptic number.

1270086972 is a gapful number since it is divisible by the number (12) 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 1270086972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859837952).

1270086972 is an abundant number, since it is smaller than the sum of its proper divisors (2449588932).

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

1270086972 is a wasteful number, since it uses less digits than its factorization.

1270086972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 1270086972 is about 35638.2795881058. The cubic root of 1270086972 is about 1082.9568526807.

The spelling of 1270086972 in words is "one billion, two hundred seventy million, eighty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 151 154 231 302 308 453 462 604 906 924 1057 1661 1812 2114 3171 3322 4228 4983 6342 6644 9103 9966 11627 12684 18206 19932 23254 27309 34881 36412 46508 54618 63721 69762 100133 109236 127442 139524 191163 200266 254884 300399 382326 400532 600798 700931 764652 1201596 1374553 1401862 2102793 2749106 2803724 4123659 4205586 5498212 8247318 8411172 9621871 15120083 16494636 19243742 28865613 30240166 38487484 45360249 57731226 60480332 90720498 105840581 115462452 181440996 211681162 317521743 423362324 635043486 1270086972