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141164320 = 2551180207
BaseRepresentation
bin10000110100111…
…11111100100000
3100211121220001011
420122133330200
5242114224240
622001350304
73332606533
oct1032377440
9324556034
10141164320
1172757930
123b338394
13233272ab
1414a68a1a
15c5d66ea
hex869ff20

141164320 has 48 divisors (see below), whose sum is σ = 363823488. Its totient is φ = 51331840.

The previous prime is 141164291. The next prime is 141164323. The reversal of 141164320 is 23461141.

141164320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 141164291 and 141164300.

It is not an unprimeable number, because it can be changed into a prime (141164323) 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, 38344 + ... + 41863.

It is an arithmetic number, because the mean of its divisors is an integer number (7579656).

Almost surely, 2141164320 is an apocalyptic number.

141164320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141164320 is an abundant number, since it is smaller than the sum of its proper divisors (222659168).

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

141164320 is a wasteful number, since it uses less digits than its factorization.

141164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80233 (or 80225 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 141164320 is about 11881.2591925267. The cubic root of 141164320 is about 520.6848963378.

It can be divided in two parts, 141 and 164320, that added together give a palindrome (164461).

The spelling of 141164320 in words is "one hundred forty-one million, one hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 80207 160414 320828 401035 641656 802070 882277 1283312 1604140 1764554 2566624 3208280 3529108 4411385 6416560 7058216 8822770 12833120 14116432 17645540 28232864 35291080 70582160 141164320