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3868156120 = 235377335803
BaseRepresentation
bin1110011010001111…
…0110000011011000
3100222120121200122111
43212203312003120
530410221443440
61435500002104
7164566533043
oct34643660330
910876550574
103868156120
111705522a44
128bb530334
1349850b89a
14289a33c5a
151798d04ea
hexe68f60d8

3868156120 has 64 divisors (see below), whose sum is σ = 9061276320. Its totient is φ = 1484780544.

The previous prime is 3868156093. The next prime is 3868156147. The reversal of 3868156120 is 216518683.

3868156120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3868156093) and next prime (3868156147).

It is a super-3 number, since 3×38681561203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90139 + ... + 125941.

Almost surely, 23868156120 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 3868156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530638160).

3868156120 is an abundant number, since it is smaller than the sum of its proper divisors (5193120200).

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

3868156120 is a wasteful number, since it uses less digits than its factorization.

3868156120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35924 (or 35920 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 3868156120 is about 62194.5023293860. The cubic root of 3868156120 is about 1569.7650831118.

The spelling of 3868156120 in words is "three billion, eight hundred sixty-eight million, one hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 73 74 146 148 185 292 296 365 370 584 730 740 1460 1480 2701 2920 5402 10804 13505 21608 27010 35803 54020 71606 108040 143212 179015 286424 358030 716060 1324711 1432120 2613619 2649422 5227238 5298844 6623555 10454476 10597688 13068095 13247110 20908952 26136190 26494220 52272380 52988440 96703903 104544760 193407806 386815612 483519515 773631224 967039030 1934078060 3868156120