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128215740 = 2235732401
BaseRepresentation
bin1111010010001…
…10101010111100
322221021000221010
413221012222330
5230310400430
620420035220
73114546552
oct751065274
9287230833
10128215740
1166413424
1236b32b10
1320742603
1413057bd2
15b3c9cb0
hex7a46abc

128215740 has 72 divisors (see below), whose sum is σ = 364897008. Its totient is φ = 33638400.

The previous prime is 128215709. The next prime is 128215793. The reversal of 128215740 is 47512821.

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

It is a junction number, because it is equal to n+sod(n) for n = 128215698 and 128215707.

It is a congruent number.

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, 319540 + ... + 319940.

It is an arithmetic number, because the mean of its divisors is an integer number (5068014).

Almost surely, 2128215740 is an apocalyptic number.

128215740 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 128215740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182448504).

128215740 is an abundant number, since it is smaller than the sum of its proper divisors (236681268).

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

128215740 is a wasteful number, since it uses less digits than its factorization.

128215740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 128215740 is about 11323.2389359229. The cubic root of 128215740 is about 504.2514020392.

The spelling of 128215740 in words is "one hundred twenty-eight million, two hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 401 438 730 802 876 1095 1203 1460 1604 2005 2190 2406 4010 4380 4812 5329 6015 8020 10658 12030 15987 21316 24060 26645 29273 31974 53290 58546 63948 79935 87819 106580 117092 146365 159870 175638 292730 319740 351276 439095 585460 878190 1756380 2136929 4273858 6410787 8547716 10684645 12821574 21369290 25643148 32053935 42738580 64107870 128215740