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133160000 = 26543329
BaseRepresentation
bin1111110111111…
…01110001000000
3100021120020011212
413323331301000
5233042110000
621114025252
73204561401
oct773756100
9307506155
10133160000
1169190096
1238718228
1321783bcc
14139839a8
15ba54c35
hex7efdc40

133160000 has 70 divisors (see below), whose sum is σ = 330292710. Its totient is φ = 53248000.

The previous prime is 133159993. The next prime is 133160017. The reversal of 133160000 is 61331.

It can be written as a sum of positive squares in 5 ways, for example, as 59474944 + 73685056 = 7712^2 + 8584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38336 + ... + 41664.

Almost surely, 2133160000 is an apocalyptic number.

133160000 is a gapful number since it is divisible by the number (10) 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 133160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165146355).

133160000 is an abundant number, since it is smaller than the sum of its proper divisors (197132710).

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

133160000 is an frugal number, since it uses more digits than its factorization.

133160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133160000 is about 11539.4973894013. The cubic root of 133160000 is about 510.6514806486.

The spelling of 133160000 in words is "one hundred thirty-three million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3329 4000 5000 6658 8000 10000 13316 16645 20000 26632 33290 40000 53264 66580 83225 106528 133160 166450 213056 266320 332900 416125 532640 665800 832250 1065280 1331600 1664500 2080625 2663200 3329000 4161250 5326400 6658000 8322500 13316000 16645000 26632000 33290000 66580000 133160000