Search a number
-
+
132021420 = 223513716061
BaseRepresentation
bin1111101111001…
…11110010101100
3100012102101100020
413313213302230
5232244141140
621033402140
73162110046
oct767476254
9305371306
10132021420
1168582713
1238269350
13214758ab
1413768a96
15b8cc6d0
hex7de7cac

132021420 has 48 divisors (see below), whose sum is σ = 372381408. Its totient is φ = 34946560.

The previous prime is 132021401. The next prime is 132021431. The reversal of 132021420 is 24120231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132021420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (7757946).

Almost surely, 2132021420 is an apocalyptic number.

132021420 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 132021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186190704).

132021420 is an abundant number, since it is smaller than the sum of its proper divisors (240359988).

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

132021420 is a wasteful number, since it uses less digits than its factorization.

132021420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16210 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132021420 is about 11490.0574411097. The cubic root of 132021420 is about 509.1918766382.

Adding to 132021420 its reverse (24120231), we get a palindrome (156141651).

The spelling of 132021420 in words is "one hundred thirty-two million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 16061 32122 48183 64244 80305 96366 160610 192732 240915 321220 481830 963660 2200357 4400714 6601071 8801428 11001785 13202142 22003570 26404284 33005355 44007140 66010710 132021420