Search a number
-
+
146715240 = 23357389449
BaseRepresentation
bin10001011111010…
…11001001101000
3101020001220110210
420233223021220
5300024341430
622320341120
73431026140
oct1057531150
9336056423
10146715240
11758a9371
12411747a0
132451ba69
14156b1920
15cd312b0
hex8beb268

146715240 has 128 divisors (see below), whose sum is σ = 505440000. Its totient is φ = 33374208.

The previous prime is 146715227. The next prime is 146715277. The reversal of 146715240 is 42517641.

146715240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 146715198 and 146715207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326536 + ... + 326984.

It is an arithmetic number, because the mean of its divisors is an integer number (3948750).

Almost surely, 2146715240 is an apocalyptic number.

146715240 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 146715240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720000).

146715240 is an abundant number, since it is smaller than the sum of its proper divisors (358724760).

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

146715240 is a wasteful number, since it uses less digits than its factorization.

146715240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 146715240 is about 12112.6066558772. The cubic root of 146715240 is about 527.4222042606.

The spelling of 146715240 in words is "one hundred forty-six million, seven hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 389 420 449 778 840 898 1167 1347 1556 1796 1945 2245 2334 2694 2723 3112 3143 3592 3890 4490 4668 5388 5446 5835 6286 6735 7780 8169 8980 9336 9429 10776 10892 11670 12572 13470 13615 15560 15715 16338 17960 18858 21784 23340 25144 26940 27230 31430 32676 37716 40845 46680 47145 53880 54460 62860 65352 75432 81690 94290 108920 125720 163380 174661 188580 326760 349322 377160 523983 698644 873305 1047966 1222627 1397288 1746610 2095932 2445254 2619915 3493220 3667881 4191864 4890508 5239830 6113135 6986440 7335762 9781016 10479660 12226270 14671524 18339405 20959320 24452540 29343048 36678810 48905080 73357620 146715240