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127540434 = 2373292137
BaseRepresentation
bin1111001101000…
…01110011010010
322212222201120210
413212201303102
5230122243214
620353344550
73106035000
oct746416322
9285881523
10127540434
1165aa201a
1236868156
1320567118
1412d1da70
15b2e4b59
hex79a1cd2

127540434 has 64 divisors (see below), whose sum is σ = 307872000. Its totient is φ = 35167104.

The previous prime is 127540429. The next prime is 127540487. The reversal of 127540434 is 434045721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58614 + ... + 60750.

It is an arithmetic number, because the mean of its divisors is an integer number (4810500).

Almost surely, 2127540434 is an apocalyptic number.

127540434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127540434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153936000).

127540434 is an abundant number, since it is smaller than the sum of its proper divisors (180331566).

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

127540434 is a wasteful number, since it uses less digits than its factorization.

127540434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 127540434 is about 11293.3800963219. The cubic root of 127540434 is about 503.3645541014.

The spelling of 127540434 in words is "one hundred twenty-seven million, five hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 343 406 609 686 1029 1218 1421 2058 2137 2842 4263 4274 6411 8526 9947 12822 14959 19894 29841 29918 44877 59682 61973 89754 104713 123946 185919 209426 314139 371838 433811 628278 732991 867622 1301433 1465982 2198973 2602866 3036677 4397946 6073354 9110031 18220062 21256739 42513478 63770217 127540434