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134063440 = 2457415839
BaseRepresentation
bin1111111110110…
…10010101010000
3100100021010110121
413333122111100
5233310012230
621145240024
73215343340
oct777322520
9310233417
10134063440
1169747935
1238a93014
1321a0c1a4
1413b3ad20
15bb8277a
hex7fda550

134063440 has 80 divisors (see below), whose sum is σ = 364976640. Its totient is φ = 44835840.

The previous prime is 134063431. The next prime is 134063467. The reversal of 134063440 is 44360431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20041 + ... + 25879.

It is an arithmetic number, because the mean of its divisors is an integer number (4562208).

Almost surely, 2134063440 is an apocalyptic number.

134063440 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 134063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182488320).

134063440 is an abundant number, since it is smaller than the sum of its proper divisors (230913200).

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

134063440 is a wasteful number, since it uses less digits than its factorization.

134063440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 134063440 is about 11578.5767691889. The cubic root of 134063440 is about 511.8037374400.

The spelling of 134063440 in words is "one hundred thirty-four million, sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 5839 11480 11678 22960 23356 29195 40873 46712 58390 81746 93424 116780 163492 204365 233560 239399 326984 408730 467120 478798 653968 817460 957596 1196995 1634920 1675793 1915192 2393990 3269840 3351586 3830384 4787980 6703172 8378965 9575960 13406344 16757930 19151920 26812688 33515860 67031720 134063440