Search a number
-
+
146623608 = 23341911909
BaseRepresentation
bin10001011110101…
…00110001111000
3101012220020210000
420233110301320
5300013423413
622314353000
73430165035
oct1057246170
9335806700
10146623608
117584653a
124112b760
13244b9141
141568a38c
15cd14073
hex8bd4c78

146623608 has 80 divisors (see below), whose sum is σ = 432333000. Its totient is φ = 46298304.

The previous prime is 146623601. The next prime is 146623621. The reversal of 146623608 is 806326641.

146623608 is a `hidden beast` number, since 1 + 46 + 6 + 2 + 3 + 608 = 666.

146623608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146623601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6358 + ... + 18266.

Almost surely, 2146623608 is an apocalyptic number.

146623608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146623608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216166500).

146623608 is an abundant number, since it is smaller than the sum of its proper divisors (285709392).

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

146623608 is a wasteful number, since it uses less digits than its factorization.

146623608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946 (or 11933 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146623608 is about 12108.8235597022. The cubic root of 146623608 is about 527.3123796865.

The spelling of 146623608 in words is "one hundred forty-six million, six hundred twenty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 11909 12312 23818 35727 47636 71454 95272 107181 142908 214362 226271 285816 321543 428724 452542 643086 678813 857448 905084 964629 1286172 1357626 1810168 1929258 2036439 2572344 2715252 3858516 4072878 5430504 6109317 7717032 8145756 12218634 16291512 18327951 24437268 36655902 48874536 73311804 146623608