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128332540 = 22572973433
BaseRepresentation
bin1111010011000…
…11001011111100
322221110222011001
413221203023330
5230323120130
620422340044
73115544230
oct751431374
9287428131
10128332540
1166493156
1236b8a624
132078381b
14130885c0
15b3ee6ca
hex7a632fc

128332540 has 96 divisors (see below), whose sum is σ = 323729280. Its totient is φ = 41803776.

The previous prime is 128332469. The next prime is 128332543. The reversal of 128332540 is 45233821.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 128332499 and 128332508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128332543) 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, 296164 + ... + 296596.

It is an arithmetic number, because the mean of its divisors is an integer number (3372180).

Almost surely, 2128332540 is an apocalyptic number.

128332540 is a gapful number since it is divisible by the number (10) 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 128332540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161864640).

128332540 is an abundant number, since it is smaller than the sum of its proper divisors (195396740).

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

128332540 is a wasteful number, since it uses less digits than its factorization.

128332540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 128332540 is about 11328.3952967753. The cubic root of 128332540 is about 504.4044739595.

The spelling of 128332540 in words is "one hundred twenty-eight million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 73 116 140 145 146 203 290 292 365 406 433 511 580 730 812 866 1015 1022 1460 1732 2030 2044 2117 2165 2555 3031 4060 4234 4330 5110 6062 8468 8660 10220 10585 12124 12557 14819 15155 21170 25114 29638 30310 31609 42340 50228 59276 60620 62785 63218 74095 87899 125570 126436 148190 158045 175798 221263 251140 296380 316090 351596 439495 442526 632180 878990 885052 916661 1106315 1757980 1833322 2212630 3666644 4425260 4583305 6416627 9166610 12833254 18333220 25666508 32083135 64166270 128332540