Search a number
-
+
146470240 = 2557196883
BaseRepresentation
bin10001011101011…
…11010101100000
3101012121110101201
420232233111200
5244444021430
622311210544
73425655640
oct1056572540
9335543351
10146470240
1175751294
1241076a54
13244643a7
141564a520
15ccd38ca
hex8baf560

146470240 has 96 divisors (see below), whose sum is σ = 416344320. Its totient is φ = 47568384.

The previous prime is 146470229. The next prime is 146470253. The reversal of 146470240 is 42074641.

146470240 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 146470199 and 146470208.

It is a congruent number.

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, 17839 + ... + 24721.

It is an arithmetic number, because the mean of its divisors is an integer number (4336920).

Almost surely, 2146470240 is an apocalyptic number.

146470240 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 146470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208172160).

146470240 is an abundant number, since it is smaller than the sum of its proper divisors (269874080).

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

146470240 is a wasteful number, since it uses less digits than its factorization.

146470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 146470240 is about 12102.4890002016. The cubic root of 146470240 is about 527.1284596476.

The spelling of 146470240 in words is "one hundred forty-six million, four hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 70 76 80 95 112 133 140 152 160 190 224 266 280 304 380 532 560 608 665 760 1064 1120 1330 1520 2128 2660 3040 4256 5320 6883 10640 13766 21280 27532 34415 48181 55064 68830 96362 110128 130777 137660 192724 220256 240905 261554 275320 385448 481810 523108 550640 653885 770896 915439 963620 1046216 1101280 1307770 1541792 1830878 1927240 2092432 2615540 3661756 3854480 4184864 4577195 5231080 7323512 7708960 9154390 10462160 14647024 18308780 20924320 29294048 36617560 73235120 146470240