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127674140 = 225114991163
BaseRepresentation
bin1111001110000…
…10011100011100
322220020111222212
413213002130130
5230141033030
620400255552
73110132546
oct747023434
9286214885
10127674140
1166083520
12369115b8
13205b2c39
1412d56696
15b31e595
hex79c271c

127674140 has 48 divisors (see below), whose sum is σ = 293328000. Its totient is φ = 46294080.

The previous prime is 127674121. The next prime is 127674143. The reversal of 127674140 is 41476721.

It is a junction number, because it is equal to n+sod(n) for n = 127674097 and 127674106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127674143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109199 + ... + 110361.

It is an arithmetic number, because the mean of its divisors is an integer number (6111000).

Almost surely, 2127674140 is an apocalyptic number.

127674140 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 127674140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146664000).

127674140 is an abundant number, since it is smaller than the sum of its proper divisors (165653860).

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

127674140 is a wasteful number, since it uses less digits than its factorization.

127674140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 127674140 is about 11299.2982082959. The cubic root of 127674140 is about 503.5403920790.

The spelling of 127674140 in words is "one hundred twenty-seven million, six hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 499 998 1163 1996 2326 2495 4652 4990 5489 5815 9980 10978 11630 12793 21956 23260 25586 27445 51172 54890 63965 109780 127930 255860 580337 1160674 2321348 2901685 5803370 6383707 11606740 12767414 25534828 31918535 63837070 127674140