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470242320 = 24359472069
BaseRepresentation
bin11100000001110…
…101010000010000
31012202211210012020
4130001311100100
51430340223240
6114354531440
714436664602
oct3401652020
91182753166
10470242320
11221492019
12111596b80
13765664c2
144664b172
152b43b0d0
hex1c075410

470242320 has 80 divisors (see below), whose sum is σ = 1459995840. Its totient is φ = 125204992.

The previous prime is 470242319. The next prime is 470242327. The reversal of 470242320 is 23242074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4702423202 = 442255679037964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (470242327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226246 + ... + 228314.

It is an arithmetic number, because the mean of its divisors is an integer number (18249948).

Almost surely, 2470242320 is an apocalyptic number.

470242320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470242320 is an abundant number, since it is smaller than the sum of its proper divisors (989753520).

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

470242320 is a wasteful number, since it uses less digits than its factorization.

470242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 470242320 is about 21685.0713625757. The cubic root of 470242320 is about 777.6316061515.

Adding to 470242320 its reverse (23242074), we get a palindrome (493484394).

The spelling of 470242320 in words is "four hundred seventy million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 947 1894 2069 2841 3788 4138 4735 5682 6207 7576 8276 9470 10345 11364 12414 14205 15152 16552 18940 20690 22728 24828 28410 31035 33104 37880 41380 45456 49656 56820 62070 75760 82760 99312 113640 124140 165520 227280 248280 496560 1959343 3918686 5878029 7837372 9796715 11756058 15674744 19593430 23512116 29390145 31349488 39186860 47024232 58780290 78373720 94048464 117560580 156747440 235121160 470242320