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134226240 = 2635891571
BaseRepresentation
bin10000000000000…
…10000101000000
3100100120101210020
420000002011000
5233330214430
621152533440
73216622101
oct1000020500
9310511706
10134226240
1169849185
1238b51280
1321a68315
1413b803a8
15bbb5b10
hex8002140

134226240 has 112 divisors (see below), whose sum is σ = 431231040. Its totient is φ = 35368960.

The previous prime is 134226223. The next prime is 134226247. The reversal of 134226240 is 42622431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134226240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134226247) 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, 84655 + ... + 86225.

Almost surely, 2134226240 is an apocalyptic number.

134226240 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 134226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215615520).

134226240 is an abundant number, since it is smaller than the sum of its proper divisors (297004800).

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

134226240 is a wasteful number, since it uses less digits than its factorization.

134226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 134226240 is about 11585.6048612060. The cubic root of 134226240 is about 512.0108233389.

Adding to 134226240 its reverse (42622431), we get a palindrome (176848671).

The spelling of 134226240 in words is "one hundred thirty-four million, two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1335 1424 1571 1780 2136 2670 2848 3142 3560 4272 4713 5340 5696 6284 7120 7855 8544 9426 10680 12568 14240 15710 17088 18852 21360 23565 25136 28480 31420 37704 42720 47130 50272 62840 75408 85440 94260 100544 125680 139819 150816 188520 251360 279638 301632 377040 419457 502720 559276 699095 754080 838914 1118552 1398190 1508160 1677828 2097285 2237104 2796380 3355656 4194570 4474208 5592760 6711312 8389140 8948416 11185520 13422624 16778280 22371040 26845248 33556560 44742080 67113120 134226240