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12157000 = 235312157
BaseRepresentation
bin101110011000…
…000001001000
3211212122021021
4232120001020
511103011000
61112322224
7205222102
oct56300110
924778237
1012157000
116953809
1240a3374
1326985bb
141886572
15110211a
hexb98048

12157000 has 32 divisors (see below), whose sum is σ = 28449720. Its totient is φ = 4862400.

The previous prime is 12156983. The next prime is 12157001. The reversal of 12157000 is 75121.

It can be written as a sum of positive squares in 4 ways, for example, as 988036 + 11168964 = 994^2 + 3342^2 .

It is not an unprimeable number, because it can be changed into a prime (12157001) 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, 5079 + ... + 7078.

Almost surely, 212157000 is an apocalyptic number.

12157000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12157000 is an abundant number, since it is smaller than the sum of its proper divisors (16292720).

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

12157000 is a wasteful number, since it uses less digits than its factorization.

12157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12178 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 12157000 is about 3486.6889737973. The cubic root of 12157000 is about 229.9369707568.

It can be divided in two parts, 121 and 57000, that added together give a square (57121 = 2392).

The spelling of 12157000 in words is "twelve million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12157 24314 48628 60785 97256 121570 243140 303925 486280 607850 1215700 1519625 2431400 3039250 6078500 12157000