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240730920 = 233351371627
BaseRepresentation
bin11100101100101…
…00001100101000
3121202222101202000
432112110030220
5443111342140
635515411000
75652115263
oct1626241450
9552871660
10240730920
11113982781
1268753a60
133ab48741
1423d85cda
1516202a30
hexe594328

240730920 has 128 divisors (see below), whose sum is σ = 808790400. Its totient is φ = 63687168.

The previous prime is 240730909. The next prime is 240730921. The reversal of 240730920 is 29037042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (240730921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147147 + ... + 148773.

It is an arithmetic number, because the mean of its divisors is an integer number (6318675).

Almost surely, 2240730920 is an apocalyptic number.

240730920 is a gapful number since it is divisible by the number (20) 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 240730920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404395200).

240730920 is an abundant number, since it is smaller than the sum of its proper divisors (568059480).

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

240730920 is a wasteful number, since it uses less digits than its factorization.

240730920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 240730920 is about 15515.5057925934. The cubic root of 240730920 is about 622.0767336053.

Adding to 240730920 its reverse (29037042), we get a palindrome (269767962).

The spelling of 240730920 in words is "two hundred forty million, seven hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1627 1644 2055 2466 2740 3254 3288 3699 4110 4881 4932 5480 6165 6508 7398 8135 8220 9762 9864 12330 13016 14643 14796 16270 16440 18495 19524 24405 24660 29286 29592 32540 36990 39048 43929 48810 49320 58572 65080 73215 73980 87858 97620 117144 146430 147960 175716 195240 219645 222899 292860 351432 439290 445798 585720 668697 878580 891596 1114495 1337394 1757160 1783192 2006091 2228990 2674788 3343485 4012182 4457980 5349576 6018273 6686970 8024364 8915960 10030455 12036546 13373940 16048728 20060910 24073092 26747880 30091365 40121820 48146184 60182730 80243640 120365460 240730920