Search a number
-
+
146111406 = 23719277661
BaseRepresentation
bin10001011010101…
…11101110101110
3101011221020011120
420231113232232
5244401031111
622255401410
73422632530
oct1055275656
9334836146
10146111406
1175526731
1240b23266
1324369c6c
1415595850
15cc62406
hex8b57bae

146111406 has 64 divisors (see below), whose sum is σ = 353349120. Its totient is φ = 39346560.

The previous prime is 146111359. The next prime is 146111417. The reversal of 146111406 is 604111641.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 220716 + ... + 221376.

It is an arithmetic number, because the mean of its divisors is an integer number (5521080).

Almost surely, 2146111406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146111406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176674560).

146111406 is an abundant number, since it is smaller than the sum of its proper divisors (207237714).

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

146111406 is a wasteful number, since it uses less digits than its factorization.

146111406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 146111406 is about 12087.6551075881. The cubic root of 146111406 is about 526.6976410952.

The spelling of 146111406 in words is "one hundred forty-six million, one hundred eleven thousand, four hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 277 399 554 661 798 831 1322 1662 1939 1983 3878 3966 4627 5263 5817 9254 10526 11634 12559 13881 15789 25118 27762 31578 36841 37677 73682 75354 87913 110523 175826 183097 221046 263739 366194 527478 549291 1098582 1281679 2563358 3478843 3845037 6957686 7690074 10436529 20873058 24351901 48703802 73055703 146111406