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3800120128 = 26722115743
BaseRepresentation
bin1110001010000001…
…0011101101000000
3100210211121002210221
43202200103231000
530240312321003
61425025432424
7163112326300
oct34240235500
910724532727
103800120128
111680083552
128a079b714
134873a9cbc
142809a3600
151739417bd
hexe2813b40

3800120128 has 84 divisors (see below), whose sum is σ = 8815132992. Its totient is φ = 1620622080.

The previous prime is 3800120101. The next prime is 3800120161. The reversal of 3800120128 is 8210210083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658825 + ... + 664567.

Almost surely, 23800120128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407566496).

3800120128 is an abundant number, since it is smaller than the sum of its proper divisors (5015012864).

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

3800120128 is a wasteful number, since it uses less digits than its factorization.

3800120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 3800120128 is about 61645.1143887332. The cubic root of 3800120128 is about 1560.5071942743.

The spelling of 3800120128 in words is "three billion, eight hundred million, one hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 211 224 392 422 448 784 844 1477 1568 1688 2954 3136 3376 5743 5908 6752 10339 11486 11816 13504 20678 22972 23632 40201 41356 45944 47264 80402 82712 91888 94528 160804 165424 183776 281407 321608 330848 367552 562814 643216 661696 1125628 1211773 1286432 2251256 2423546 2572864 4502512 4847092 8482411 9005024 9694184 16964822 18010048 19388368 33929644 38776736 59376877 67859288 77553472 118753754 135718576 237507508 271437152 475015016 542874304 950030032 1900060064 3800120128