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1838136 = 2331929139
BaseRepresentation
bin111000000110000111000
310110101110010
413000300320
5432310021
6103221520
721423666
oct7006070
93411403
101838136
111046023
127478a0
134c4871
1435bc36
15264976
hex1c0c38

1838136 has 64 divisors (see below), whose sum is σ = 5040000. Its totient is φ = 556416.

The previous prime is 1838131. The next prime is 1838141. The reversal of 1838136 is 6318381.

It is an interprime number because it is at equal distance from previous prime (1838131) and next prime (1838141).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838131) 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, 13155 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (78750).

21838136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520000).

1838136 is an abundant number, since it is smaller than the sum of its proper divisors (3201864).

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

1838136 is a wasteful number, since it uses less digits than its factorization.

1838136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1838136 is about 1355.7787430108. The cubic root of 1838136 is about 122.4971205765.

The spelling of 1838136 in words is "one million, eight hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 139 152 174 228 232 278 348 417 456 551 556 696 834 1102 1112 1653 1668 2204 2641 3306 3336 4031 4408 5282 6612 7923 8062 10564 12093 13224 15846 16124 21128 24186 31692 32248 48372 63384 76589 96744 153178 229767 306356 459534 612712 919068 1838136