Search a number
-
+
1235040 = 25353183
BaseRepresentation
bin100101101100001100000
32022202011020
410231201200
5304010130
642245440
713332462
oct4554140
92282136
101235040
117739a4
124b6880
133431c1
14242132
15195e10
hex12d860

1235040 has 96 divisors (see below), whose sum is σ = 4064256. Its totient is φ = 314880.

The previous prime is 1235027. The next prime is 1235041. The reversal of 1235040 is 405321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1235041) 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, 14839 + ... + 14921.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

21235040 is an apocalyptic number.

1235040 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 1235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128).

1235040 is an abundant number, since it is smaller than the sum of its proper divisors (2829216).

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

1235040 is a wasteful number, since it uses less digits than its factorization.

1235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1235040 is about 1111.3235352497. The cubic root of 1235040 is about 107.2902707373.

The spelling of 1235040 in words is "one million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 83 93 96 120 124 155 160 166 186 240 248 249 310 332 372 415 465 480 496 498 620 664 744 830 930 992 996 1240 1245 1328 1488 1660 1860 1992 2480 2490 2573 2656 2976 3320 3720 3984 4960 4980 5146 6640 7440 7719 7968 9960 10292 12865 13280 14880 15438 19920 20584 25730 30876 38595 39840 41168 51460 61752 77190 82336 102920 123504 154380 205840 247008 308760 411680 617520 1235040