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180980096 = 2711177561
BaseRepresentation
bin10101100100110…
…00100110000000
3110121112202000112
422302120212000
5332312330341
625543010452
74325206523
oct1262304600
9417482015
10180980096
1193182030
1250739a28
132b65801b
141a070bba
1510d4daeb
hexac98980

180980096 has 64 divisors (see below), whose sum is σ = 416514960. Its totient is φ = 77414400.

The previous prime is 180980083. The next prime is 180980099. The reversal of 180980096 is 690089081.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180980099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20156 + ... + 27716.

Almost surely, 2180980096 is an apocalyptic number.

180980096 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 180980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208257480).

180980096 is an abundant number, since it is smaller than the sum of its proper divisors (235534864).

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

180980096 is a wasteful number, since it uses less digits than its factorization.

180980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 180980096 is about 13452.8843004019. The cubic root of 180980096 is about 565.6445470123.

The spelling of 180980096 in words is "one hundred eighty million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 7561 11968 15122 23936 30244 60488 83171 120976 128537 166342 241952 257074 332684 483904 514148 665368 967808 1028296 1330736 1413907 2056592 2661472 2827814 4113184 5322944 5655628 8226368 10645888 11311256 16452736 22622512 45245024 90490048 180980096