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1139136 = 26317349
BaseRepresentation
bin100010110000111000000
32010212121020
410112013000
5242423021
640225440
712453045
oct4260700
92125536
101139136
11708939
1246b280
1330b65b
142191cc
151777c6
hex1161c0

1139136 has 56 divisors (see below), whose sum is σ = 3200400. Its totient is φ = 356352.

The previous prime is 1139123. The next prime is 1139141. The reversal of 1139136 is 6319311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3090 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (57150).

21139136 is an apocalyptic number.

1139136 is a gapful number since it is divisible by the number (16) 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 1139136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600200).

1139136 is an abundant number, since it is smaller than the sum of its proper divisors (2061264).

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

1139136 is a wasteful number, since it uses less digits than its factorization.

1139136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 1139136 is about 1067.3031434414. The cubic root of 1139136 is about 104.4379950078.

It can be divided in two parts, 1139 and 136, that added together give a triangular number (1275 = T50).

The spelling of 1139136 in words is "one million, one hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 349 408 544 698 816 1047 1088 1396 1632 2094 2792 3264 4188 5584 5933 8376 11168 11866 16752 17799 22336 23732 33504 35598 47464 67008 71196 94928 142392 189856 284784 379712 569568 1139136