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470730240 = 2932520431
BaseRepresentation
bin11100000011101…
…100011000000000
31012210202120111100
4130003230120000
51431001331430
6114413214400
714444066241
oct3403543000
91183676440
10470730240
11221795662
12111791400
13766a7606
1446736cc8
152b4d5960
hex1c0ec600

470730240 has 120 divisors (see below), whose sum is σ = 1630351008. Its totient is φ = 125521920.

The previous prime is 470730223. The next prime is 470730283. The reversal of 470730240 is 42037074.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12825 + ... + 33255.

Almost surely, 2470730240 is an apocalyptic number.

470730240 is a gapful number since it is divisible by the number (40) 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 470730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815175504).

470730240 is an abundant number, since it is smaller than the sum of its proper divisors (1159620768).

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

470730240 is a wasteful number, since it uses less digits than its factorization.

470730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20460 (or 20441 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 470730240 is about 21696.3185817318. The cubic root of 470730240 is about 777.9004681433.

The spelling of 470730240 in words is "four hundred seventy million, seven hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 20431 23040 40862 61293 81724 102155 122586 163448 183879 204310 245172 306465 326896 367758 408620 490344 612930 653792 735516 817240 919395 980688 1225860 1307584 1471032 1634480 1838790 1961376 2451720 2615168 2942064 3268960 3677580 3922752 4903440 5230336 5884128 6537920 7355160 7845504 9806880 10460672 11768256 13075840 14710320 15691008 19613760 23536512 26151680 29420640 31382016 39227520 47073024 52303360 58841280 78455040 94146048 117682560 156910080 235365120 470730240