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180696012 = 223737471237
BaseRepresentation
bin10101100010100…
…11001111001100
3110121000022022220
422301103033030
5332224233022
625532535340
74322614350
oct1261231714
9417008286
10180696012
1192aa8652
1250621550
132b588923
1419dd9460
1510ce485c
hexac533cc

180696012 has 96 divisors (see below), whose sum is σ = 505817088. Its totient is φ = 49123584.

The previous prime is 180696011. The next prime is 180696017. The reversal of 180696012 is 210696081.

180696012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180696011) 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, 145458 + ... + 146694.

It is an arithmetic number, because the mean of its divisors is an integer number (5268928).

Almost surely, 2180696012 is an apocalyptic number.

180696012 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 180696012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252908544).

180696012 is an abundant number, since it is smaller than the sum of its proper divisors (325121076).

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

180696012 is a wasteful number, since it uses less digits than its factorization.

180696012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 180696012 is about 13442.3216744728. The cubic root of 180696012 is about 565.3484284133.

The spelling of 180696012 in words is "one hundred eighty million, six hundred ninety-six thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 47 74 84 94 111 141 148 188 222 259 282 329 444 518 564 658 777 987 1036 1237 1316 1554 1739 1974 2474 3108 3478 3711 3948 4948 5217 6956 7422 8659 10434 12173 14844 17318 20868 24346 25977 34636 36519 45769 48692 51954 58139 73038 91538 103908 116278 137307 146076 174417 183076 232556 274614 320383 348834 406973 549228 640766 697668 813946 961149 1220919 1281532 1627892 1922298 2151143 2441838 3844596 4302286 4883676 6453429 8604572 12906858 15058001 25813716 30116002 45174003 60232004 90348006 180696012