Search a number
-
+
146720 = 2557131
BaseRepresentation
bin100011110100100000
321110021002
4203310200
514143340
63051132
71150520
oct436440
9243232
10146720
11a0262
1270aa8
1351a22
143b680
152d715
hex23d20

146720 has 48 divisors (see below), whose sum is σ = 399168. Its totient is φ = 49920.

The previous prime is 146719. The next prime is 146743. The reversal of 146720 is 27641.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 146692 and 146701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2146720 is an apocalyptic number.

146720 is a gapful number since it is divisible by the number (10) 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 146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584).

146720 is an abundant number, since it is smaller than the sum of its proper divisors (252448).

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

146720 is a wasteful number, since it uses less digits than its factorization.

146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 146720 is about 383.0404678360. The cubic root of 146720 is about 52.7427908059.

The spelling of 146720 in words is "one hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 131 140 160 224 262 280 524 560 655 917 1048 1120 1310 1834 2096 2620 3668 4192 4585 5240 7336 9170 10480 14672 18340 20960 29344 36680 73360 146720