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269438040 = 233251993761
BaseRepresentation
bin10000000011110…
…100110001011000
3200202222212111200
4100003310301120
51022434004130
642422554200
76451120434
oct2003646130
9622885450
10269438040
111290aa873
1276298960
1343a8a0c1
1427ad99c4
15189c3760
hex100f4c58

269438040 has 96 divisors (see below), whose sum is σ = 880308000. Its totient is φ = 71470080.

The previous prime is 269438023. The next prime is 269438051. The reversal of 269438040 is 40834962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 269437986 and 269438004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 69760 + ... + 73520.

It is an arithmetic number, because the mean of its divisors is an integer number (9169875).

Almost surely, 2269438040 is an apocalyptic number.

269438040 is a gapful number since it is divisible by the number (20) 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 269438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440154000).

269438040 is an abundant number, since it is smaller than the sum of its proper divisors (610869960).

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

269438040 is a wasteful number, since it uses less digits than its factorization.

269438040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 269438040 is about 16414.5679199911. The cubic root of 269438040 is about 645.8816858792.

The spelling of 269438040 in words is "two hundred sixty-nine million, four hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 597 796 995 1194 1592 1791 1990 2388 2985 3582 3761 3980 4776 5970 7164 7522 7960 8955 11283 11940 14328 15044 17910 18805 22566 23880 30088 33849 35820 37610 45132 56415 67698 71640 75220 90264 112830 135396 150440 169245 225660 270792 338490 451320 676980 748439 1353960 1496878 2245317 2993756 3742195 4490634 5987512 6735951 7484390 8981268 11226585 13471902 14968780 17962536 22453170 26943804 29937560 33679755 44906340 53887608 67359510 89812680 134719020 269438040