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134420640 = 25351931451
BaseRepresentation
bin10000000001100…
…01100010100000
3100100221021110020
420000301202200
5233402430030
621201033440
73221361624
oct1000614240
9310837406
10134420640
1169971242
1239025880
1321b05953
1413bd1184
15bc03510
hex80318a0

134420640 has 96 divisors (see below), whose sum is σ = 425912256. Its totient is φ = 35635200.

The previous prime is 134420617. The next prime is 134420641. The reversal of 134420640 is 46024431.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134420640.

It is not an unprimeable number, because it can be changed into a prime (134420641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91915 + ... + 93365.

It is an arithmetic number, because the mean of its divisors is an integer number (4436586).

Almost surely, 2134420640 is an apocalyptic number.

134420640 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 134420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212956128).

134420640 is an abundant number, since it is smaller than the sum of its proper divisors (291491616).

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

134420640 is a wasteful number, since it uses less digits than its factorization.

134420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

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

The square root of 134420640 is about 11593.9915473490. The cubic root of 134420640 is about 512.2578860357.

The spelling of 134420640 in words is "one hundred thirty-four million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1451 1544 1930 2316 2895 2902 3088 3860 4353 4632 5790 5804 6176 7255 7720 8706 9264 11580 11608 14510 15440 17412 18528 21765 23160 23216 29020 30880 34824 43530 46320 46432 58040 69648 87060 92640 116080 139296 174120 232160 280043 348240 560086 696480 840129 1120172 1400215 1680258 2240344 2800430 3360516 4200645 4480688 5600860 6721032 8401290 8961376 11201720 13442064 16802580 22403440 26884128 33605160 44806880 67210320 134420640