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128204190 = 232510713313
BaseRepresentation
bin1111010010000…
…11110110011110
322221020110002100
413221003312132
5230310013230
620415505530
73114501102
oct751036636
9287213070
10128204190
1166405784
1236b282a6
132073a28a
1413053902
15b3c6660
hex7a43d9e

128204190 has 48 divisors (see below), whose sum is σ = 336471408. Its totient is φ = 33865728.

The previous prime is 128204179. The next prime is 128204239. The reversal of 128204190 is 91402821.

It is a super-2 number, since 2×1282041902 = 32872628667112200, which contains 22 as substring.

It is a Curzon number.

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, 2974 + ... + 16286.

It is an arithmetic number, because the mean of its divisors is an integer number (7009821).

Almost surely, 2128204190 is an apocalyptic number.

128204190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128204190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168235704).

128204190 is an abundant number, since it is smaller than the sum of its proper divisors (208267218).

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

128204190 is a wasteful number, since it uses less digits than its factorization.

128204190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 128204190 is about 11322.7289113535. The cubic root of 128204190 is about 504.2362601682.

The spelling of 128204190 in words is "one hundred twenty-eight million, two hundred four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 13313 26626 39939 66565 79878 119817 133130 199695 239634 399390 599085 1198170 1424491 2848982 4273473 7122455 8546946 12820419 14244910 21367365 25640838 42734730 64102095 128204190