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464260720 = 24571175367
BaseRepresentation
bin11011101011000…
…000111001110000
31012100120212222111
4123223000321300
51422322320340
6114022415104
714335102540
oct3353007160
91170525874
10464260720
11219076a50
1210b591494
13752509b1
1445931320
152ab58aea
hex1bac0e70

464260720 has 80 divisors (see below), whose sum is σ = 1345771008. Its totient is φ = 144702720.

The previous prime is 464260717. The next prime is 464260729. The reversal of 464260720 is 27062464.

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

It is a super-2 number, since 2×4642607202 = 431076032269836800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464260729) 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, 31524 + ... + 43843.

Almost surely, 2464260720 is an apocalyptic number.

464260720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464260720 is an abundant number, since it is smaller than the sum of its proper divisors (881510288).

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

464260720 is a wasteful number, since it uses less digits than its factorization.

464260720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75398 (or 75392 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 464260720 is about 21546.7101897250. The cubic root of 464260720 is about 774.3203031244.

The spelling of 464260720 in words is "four hundred sixty-four million, two hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 75367 150734 301468 376835 527569 602936 753670 829037 1055138 1205872 1507340 1658074 2110276 2637845 3014680 3316148 4145185 4220552 5275690 5803259 6029360 6632296 8290370 8441104 10551380 11606518 13264592 16580740 21102760 23213036 29016295 33161480 42205520 46426072 58032590 66322960 92852144 116065180 232130360 464260720