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264453420 = 223571157241
BaseRepresentation
bin11111100001100…
…11110100101100
3200102121121220010
433300303310230
51020200002140
642124053220
76360550140
oct1760636454
9612547803
10264453420
11126305850
1274694210
1342a3331a
142719d220
151833b880
hexfc33d2c

264453420 has 96 divisors (see below), whose sum is σ = 923198976. Its totient is φ = 54950400.

The previous prime is 264453359. The next prime is 264453421. The reversal of 264453420 is 24354462.

264453420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2644534202 = 139871222699392800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

264453420 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (264453421) 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, 24001 + ... + 33240.

It is an arithmetic number, because the mean of its divisors is an integer number (9616656).

Almost surely, 2264453420 is an apocalyptic number.

264453420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264453420 is an abundant number, since it is smaller than the sum of its proper divisors (658745556).

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

264453420 is a wasteful number, since it uses less digits than its factorization.

264453420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57271 (or 57269 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 264453420 is about 16262.0238592864. The cubic root of 264453420 is about 641.8739186225.

The spelling of 264453420 in words is "two hundred sixty-four million, four hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 57241 114482 171723 228964 286205 343446 400687 572410 629651 686892 801374 858615 1144820 1202061 1259302 1602748 1717230 1888953 2003435 2404122 2518604 3148255 3434460 3777906 4006870 4407557 4808244 6010305 6296510 7555812 8013740 8815114 9444765 12020610 12593020 13222671 17630228 18889530 22037785 24041220 26445342 37779060 44075570 52890684 66113355 88151140 132226710 264453420