Search a number
-
+
146426104 = 231129181317
BaseRepresentation
bin10001011101001…
…00100011111000
3101012112012212001
420232210203320
5244441113404
622310230344
73425413156
oct1056444370
9335465761
10146426104
1175721110
12410553b4
132444a286
14156383d6
15ccc57a4
hex8ba48f8

146426104 has 64 divisors (see below), whose sum is σ = 312530400. Its totient is φ = 63705600.

The previous prime is 146426099. The next prime is 146426107. The reversal of 146426104 is 401624641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146426107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461754 + ... + 462070.

Almost surely, 2146426104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146426104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156265200).

146426104 is an abundant number, since it is smaller than the sum of its proper divisors (166104296).

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

146426104 is a wasteful number, since it uses less digits than its factorization.

146426104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 146426104 is about 12100.6654362477. The cubic root of 146426104 is about 527.0755076419.

The spelling of 146426104 in words is "one hundred forty-six million, four hundred twenty-six thousand, one hundred four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 181 232 317 319 362 634 638 724 1268 1276 1448 1991 2536 2552 3487 3982 5249 6974 7964 9193 10498 13948 15928 18386 20996 27896 36772 41992 57377 57739 73544 101123 114754 115478 202246 229508 230956 404492 459016 461912 631147 808984 1262294 1663933 2524588 3327866 5049176 6655732 13311464 18303263 36606526 73213052 146426104