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3138332160 = 2935408637
BaseRepresentation
bin1011101100001111…
…0010011000000000
322002201022210101110
42323003302120000
522411403112120
61235225203320
7140525245305
oct27303623000
98081283343
103138332160
111370563447
12737030540
133b02596a2
1421ab350ac
151357bb2e0
hexbb0f2600

3138332160 has 80 divisors (see below), whose sum is σ = 10032880176. Its totient is φ = 836886528.

The previous prime is 3138332147. The next prime is 3138332161. The reversal of 3138332160 is 612338313.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138332161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196639 + ... + 211998.

Almost surely, 23138332160 is an apocalyptic number.

3138332160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138332160 is an abundant number, since it is smaller than the sum of its proper divisors (6894548016).

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

3138332160 is an equidigital number, since it uses as much as digits as its factorization.

3138332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408663 (or 408647 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3138332160 is about 56020.8189872301. The cubic root of 3138332160 is about 1464.0850379103.

The spelling of 3138332160 in words is "three billion, one hundred thirty-eight million, three hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 408637 817274 1225911 1634548 2043185 2451822 3269096 4086370 4903644 6129555 6538192 8172740 9807288 12259110 13076384 16345480 19614576 24518220 26152768 32690960 39229152 49036440 52305536 65381920 78458304 98072880 104611072 130763840 156916608 196145760 209222144 261527680 313833216 392291520 523055360 627666432 784583040 1046110720 1569166080 3138332160