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168780001 = 1357722501
BaseRepresentation
bin10100000111101…
…10000011100001
3102202120220122011
422003312003201
5321201430001
624425312521
74116414655
oct1203660341
9382526564
10168780001
11872a9a05
1248635741
1328c75c30
14185b6a65
15ec3dd51
hexa0f60e1

168780001 has 8 divisors (see below), whose sum is σ = 182086184. Its totient is φ = 155520000.

The previous prime is 168779999. The next prime is 168780019. The reversal of 168780001 is 100087861.

It can be written as a sum of positive squares in 4 ways, for example, as 109181601 + 59598400 = 10449^2 + 7720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(168780001) divides (168780001-1)5.

It is a cyclic number.

It is not a de Polignac number, because 168780001 - 21 = 168779999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168780041) 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, 3750 + ... + 18751.

It is an arithmetic number, because the mean of its divisors is an integer number (22760773).

Almost surely, 2168780001 is an apocalyptic number.

168780001 is the 7501-st octagonal number.

It is an amenable number.

168780001 is a deficient number, since it is larger than the sum of its proper divisors (13306183).

168780001 is a wasteful number, since it uses less digits than its factorization.

168780001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23091.

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 168780001 is about 12991.5357444761. The cubic root of 168780001 is about 552.6374708938.

The spelling of 168780001 in words is "one hundred sixty-eight million, seven hundred eighty thousand, one".

Divisors: 1 13 577 7501 22501 292513 12983077 168780001