Search a number
-
+
1006154121 = 37145932839
BaseRepresentation
bin111011111110001…
…011000110001001
32121010020220222110
4323332023012021
54030033412441
6243501212533
733635111640
oct7376130611
92533226873
101006154121
11476a47535
12240b61149
131305b338b
14978b0357
155d4e9b16
hex3bf8b189

1006154121 has 16 divisors (see below), whose sum is σ = 1534284800. Its totient is φ = 574533648.

The previous prime is 1006154111. The next prime is 1006154153. The reversal of 1006154121 is 1214516001.

It is not a de Polignac number, because 1006154121 - 211 = 1006152073 is a prime.

It is a super-2 number, since 2×10061541212 = 2024692230410565282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006154111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14220 + ... + 47058.

It is an arithmetic number, because the mean of its divisors is an integer number (95892800).

Almost surely, 21006154121 is an apocalyptic number.

It is an amenable number.

1006154121 is a deficient number, since it is larger than the sum of its proper divisors (528130679).

1006154121 is a wasteful number, since it uses less digits than its factorization.

1006154121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34308.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1006154121 is about 31719.9325503696. The cubic root of 1006154121 is about 1002.0471798614.

The spelling of 1006154121 in words is "one billion, six million, one hundred fifty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 21 1459 4377 10213 30639 32839 98517 229873 689619 47912101 143736303 335384707 1006154121