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128194140 = 223519139809
BaseRepresentation
bin1111010010000…
…01011001011100
322221012221022010
413221001121130
5230304203030
620415351220
73114426564
oct751013134
9287187263
10128194140
11663a9178
1236b22510
1320735829
141304dda4
15b3c36b0
hex7a4165c

128194140 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 32113152.

The previous prime is 128194139. The next prime is 128194153. The reversal of 128194140 is 41491821.

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 = 128194098 and 128194107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158056 + ... + 158864.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2128194140 is an apocalyptic number.

128194140 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 128194140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

128194140 is an abundant number, since it is smaller than the sum of its proper divisors (252829860).

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

128194140 is a wasteful number, since it uses less digits than its factorization.

128194140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 128194140 is about 11322.2851050484. The cubic root of 128194140 is about 504.2230840340.

The spelling of 128194140 in words is "one hundred twenty-eight million, one hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 278 285 380 417 556 570 695 809 834 1140 1390 1618 1668 2085 2427 2641 2780 3236 4045 4170 4854 5282 7923 8090 8340 9708 10564 12135 13205 15371 15846 16180 24270 26410 30742 31692 39615 46113 48540 52820 61484 76855 79230 92226 112451 153710 158460 184452 224902 230565 307420 337353 449804 461130 562255 674706 922260 1124510 1349412 1686765 2136569 2249020 3373530 4273138 6409707 6747060 8546276 10682845 12819414 21365690 25638828 32048535 42731380 64097070 128194140