Search a number
-
+
146125548 = 223229139967
BaseRepresentation
bin10001011010110…
…11001011101100
3101011221221120100
420231123023230
5244402004143
622255551100
73423022002
oct1055331354
9334857510
10146125548
1175536318
1240b2b490
132437352a
141559aa72
15cc666d3
hex8b5b2ec

146125548 has 36 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 47028576.

The previous prime is 146125547. The next prime is 146125571. The reversal of 146125548 is 845521641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (146125541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68940 + ... + 71027.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2146125548 is an apocalyptic number.

146125548 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146125548 is an abundant number, since it is smaller than the sum of its proper divisors (235987092).

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

146125548 is a wasteful number, since it uses less digits than its factorization.

146125548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140006 (or 140001 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 146125548 is about 12088.2400704155. The cubic root of 146125548 is about 526.7146334208.

The spelling of 146125548 in words is "one hundred forty-six million, one hundred twenty-five thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 139967 279934 419901 559868 839802 1259703 1679604 2519406 4059043 5038812 8118086 12177129 16236172 24354258 36531387 48708516 73062774 146125548