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3870578640 = 243516127411
BaseRepresentation
bin1110011010110100…
…0101011111010000
3100222202011202201110
43212231011133100
530411332004030
61440023533320
7164626242555
oct34655053720
910882152643
103870578640
111706928025
129002ba240
13498b79426
1428a0a4a2c
15179c0d1b0
hexe6b457d0

3870578640 has 40 divisors (see below), whose sum is σ = 11998794528. Its totient is φ = 1032154240.

The previous prime is 3870578633. The next prime is 3870578653. The reversal of 3870578640 is 468750783.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3870578640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8063466 + ... + 8063945.

Almost surely, 23870578640 is an apocalyptic number.

3870578640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3870578640 is an abundant number, since it is smaller than the sum of its proper divisors (8128215888).

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

3870578640 is a wasteful number, since it uses less digits than its factorization.

3870578640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127427 (or 16127421 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 3870578640 is about 62213.9746359289. The cubic root of 3870578640 is about 1570.0927149866.

The spelling of 3870578640 in words is "three billion, eight hundred seventy million, five hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16127411 32254822 48382233 64509644 80637055 96764466 129019288 161274110 193528932 241911165 258038576 322548220 387057864 483822330 645096440 774115728 967644660 1290192880 1935289320 3870578640