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128320452 = 2232131914431
BaseRepresentation
bin1111010011000…
…00001111000100
322221110100120100
413221200033010
5230322223302
620422204100
73115464051
oct751401704
9287410510
10128320452
1166485067
1236b83630
132077b180
1413084028
15b3ead1c
hex7a603c4

128320452 has 72 divisors (see below), whose sum is σ = 367727360. Its totient is φ = 37402560.

The previous prime is 128320441. The next prime is 128320463. The reversal of 128320452 is 254023821.

It is an interprime number because it is at equal distance from previous prime (128320441) and next prime (128320463).

It is a super-2 number, since 2×1283204522 = 32932276802968608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677 + ... + 16107.

Almost surely, 2128320452 is an apocalyptic number.

128320452 is a gapful number since it is divisible by the number (12) 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 128320452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183863680).

128320452 is an abundant number, since it is smaller than the sum of its proper divisors (239406908).

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

128320452 is a wasteful number, since it uses less digits than its factorization.

128320452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14473 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128320452 is about 11327.8617576310. The cubic root of 128320452 is about 504.3886363739.

The spelling of 128320452 in words is "one hundred twenty-eight million, three hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 14431 28862 43293 57724 86586 129879 173172 187603 259758 274189 375206 519516 548378 562809 750412 822567 1096756 1125618 1645134 1688427 2251236 2467701 3290268 3376854 3564457 4935402 6753708 7128914 9870804 10693371 14257828 21386742 32080113 42773484 64160226 128320452