Search a number
-
+
32134535040 = 273516736737
BaseRepresentation
bin11101111011010111…
…100001011110000000
310001221111210111222110
4131323113201132000
51011302420110130
622432402335320
72215216020036
oct357327413600
9101844714873
1032134535040
11126a011a883
12628995a540
13305168519a
1417abb24556
15c81213ab0
hex77b5e1780

32134535040 has 64 divisors (see below), whose sum is σ = 102428836560. Its totient is φ = 8569208832.

The previous prime is 32134535029. The next prime is 32134535051. The reversal of 32134535040 is 4053543123.

It is an interprime number because it is at equal distance from previous prime (32134535029) and next prime (32134535051).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32134534989 and 32134535007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8366449 + ... + 8370288.

Almost surely, 232134535040 is an apocalyptic number.

32134535040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32134535040 is an abundant number, since it is smaller than the sum of its proper divisors (70294301520).

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

32134535040 is a wasteful number, since it uses less digits than its factorization.

32134535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736759 (or 16736747 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 32134535040 in words is "thirty-two billion, one hundred thirty-four million, five hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 16736737 33473474 50210211 66946948 83683685 100420422 133893896 167367370 200840844 251051055 267787792 334734740 401681688 502102110 535575584 669469480 803363376 1004204220 1071151168 1338938960 1606726752 2008408440 2142302336 2677877920 3213453504 4016816880 5355755840 6426907008 8033633760 10711511680 16067267520 32134535040