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2157001 = 711109257
BaseRepresentation
bin1000001110100111001001
311001120211221
420032213021
51023011001
6114122041
724222430
oct10164711
94046757
102157001
111243650
12880321
135a6a42
14402117
152c91a1
hex20e9c9

2157001 has 16 divisors (see below), whose sum is σ = 2724480. Its totient is φ = 1658880.

The previous prime is 2156993. The next prime is 2157007. The reversal of 2157001 is 1007512.

It is a 4-Lehmer number, since φ(2157001) divides (2157001-1)4.

It is a cyclic number.

It is not a de Polignac number, because 2157001 - 23 = 2156993 is a prime.

It is a super-3 number, since 3×21570013 = 30107333552860413003, which contains 333 as substring.

2157001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2157007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8265 + ... + 8521.

It is an arithmetic number, because the mean of its divisors is an integer number (170280).

22157001 is an apocalyptic number.

It is an amenable number.

2157001 is a deficient number, since it is larger than the sum of its proper divisors (567479).

2157001 is a wasteful number, since it uses less digits than its factorization.

2157001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384.

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

The square root of 2157001 is about 1468.6732107586. The cubic root of 2157001 is about 129.2062282332.

The spelling of 2157001 in words is "two million, one hundred fifty-seven thousand, one".

Divisors: 1 7 11 77 109 257 763 1199 1799 2827 8393 19789 28013 196091 308143 2157001