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1137340 = 225194173
BaseRepresentation
bin100010101101010111100
32010210010201
410111222330
5242343330
640213244
712444601
oct4255274
92123121
101137340
11707556
1246a224
1330a8a9
142186a8
15176eca
hex115abc

1137340 has 48 divisors (see below), whose sum is σ = 2610720. Its totient is φ = 414720.

The previous prime is 1137337. The next prime is 1137341. The reversal of 1137340 is 437311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15544 + ... + 15616.

It is an arithmetic number, because the mean of its divisors is an integer number (54390).

21137340 is an apocalyptic number.

1137340 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 1137340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305360).

1137340 is an abundant number, since it is smaller than the sum of its proper divisors (1473380).

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

1137340 is a wasteful number, since it uses less digits than its factorization.

1137340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 1137340 is about 1066.4614385903. The cubic root of 1137340 is about 104.3830793225.

The spelling of 1137340 in words is "one million, one hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 73 76 82 95 146 164 190 205 292 365 380 410 730 779 820 1387 1460 1558 2774 2993 3116 3895 5548 5986 6935 7790 11972 13870 14965 15580 27740 29930 56867 59860 113734 227468 284335 568670 1137340