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136443408 = 2431941289
BaseRepresentation
bin10000010000111…
…11011000010000
3100111202001011120
420020133120100
5234412142113
621312242240
73244515123
oct1010373020
9314661146
10136443408
1170022a52
1239840380
132236355a
141419a3ba
15bea2a23
hex821f610

136443408 has 120 divisors (see below), whose sum is σ = 384573600. Its totient is φ = 41564160.

The previous prime is 136443407. The next prime is 136443421. The reversal of 136443408 is 804344631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136443403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533028 + ... + 1533116.

It is an arithmetic number, because the mean of its divisors is an integer number (3204780).

Almost surely, 2136443408 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 136443408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192286800).

136443408 is an abundant number, since it is smaller than the sum of its proper divisors (248130192).

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

136443408 is a wasteful number, since it uses less digits than its factorization.

136443408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 136443408 is about 11680.8992804493. The cubic root of 136443408 is about 514.8145975410.

The spelling of 136443408 in words is "one hundred thirty-six million, four hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 89 114 123 152 164 178 228 246 267 304 328 356 456 492 534 656 712 779 912 984 1068 1424 1558 1681 1691 1968 2136 2337 3116 3362 3382 3649 4272 4674 5043 5073 6232 6724 6764 7298 9348 10086 10146 10947 12464 13448 13528 14596 18696 20172 20292 21894 26896 27056 29192 31939 37392 40344 40584 43788 58384 63878 69331 80688 81168 87576 95817 127756 138662 149609 175152 191634 207993 255512 277324 299218 383268 415986 448827 511024 554648 598436 766536 831972 897654 1109296 1196872 1533072 1663944 1795308 2393744 2842571 3327888 3590616 5685142 7181232 8527713 11370284 17055426 22740568 34110852 45481136 68221704 136443408