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1299696672 = 253194373227
BaseRepresentation
bin100110101110111…
…1100110000100000
310100120121102122210
41031131330300200
510130210243142
6332545002120
744131145061
oct11535746040
93316542583
101299696672
1160771038a
12303323340
1317935cbb1
14c4882568
157918049c
hex4d77cc20

1299696672 has 192 divisors, whose sum is σ = 3741534720. Its totient is φ = 393652224.

The previous prime is 1299696667. The next prime is 1299696689. The reversal of 1299696672 is 2766969921.

It is a happy number.

It is a super-2 number, since 2×12996966722 = 3378422878415751168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5725423 + ... + 5725649.

It is an arithmetic number, because the mean of its divisors is an integer number (19487160).

Almost surely, 21299696672 is an apocalyptic number.

1299696672 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 1299696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870767360).

1299696672 is an abundant number, since it is smaller than the sum of its proper divisors (2441838048).

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

1299696672 is a wasteful number, since it uses less digits than its factorization.

1299696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The square root of 1299696672 is about 36051.3061067141. The cubic root of 1299696672 is about 1091.3079918376.

It can be divided in two parts, 1299 and 696672, that added together give a triangular number (697971 = T1181).

The spelling of 1299696672 in words is "one billion, two hundred ninety-nine million, six hundred ninety-six thousand, six hundred seventy-two".