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3160020416 = 267192316141
BaseRepresentation
bin1011110001011010…
…0001010111000000
322011020010200002012
42330112201113000
522432431123131
61241322112052
7141210505340
oct27426412700
98136120065
103160020416
111381827123
1274234b628
133b48b1387
1421d97cd20
1513765252b
hexbc5a15c0

3160020416 has 112 divisors (see below), whose sum is σ = 7872130560. Its totient is φ = 1227156480.

The previous prime is 3160020377. The next prime is 3160020449. The reversal of 3160020416 is 6140200613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 3160020391 and 3160020400.

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, 187706 + ... + 203846.

It is an arithmetic number, because the mean of its divisors is an integer number (70286880).

Almost surely, 23160020416 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 3160020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936065280).

3160020416 is an abundant number, since it is smaller than the sum of its proper divisors (4712110144).

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

3160020416 is a wasteful number, since it uses less digits than its factorization.

3160020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16202 (or 16192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3160020416 is about 56214.0588820982. The cubic root of 3160020416 is about 1467.4499445153.

The spelling of 3160020416 in words is "three billion, one hundred sixty million, twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 64 76 92 112 133 152 161 184 224 266 304 322 368 437 448 532 608 644 736 874 1064 1216 1288 1472 1748 2128 2576 3059 3496 4256 5152 6118 6992 8512 10304 12236 13984 16141 24472 27968 32282 48944 64564 97888 112987 129128 195776 225974 258256 306679 371243 451948 516512 613358 742486 903896 1033024 1226716 1484972 1807792 2146753 2453432 2598701 2969944 3615584 4293506 4906864 5197402 5939888 7053617 7231168 8587012 9813728 10394804 11879776 14107234 17174024 19627456 20789608 23759552 28214468 34348048 41579216 49375319 56428936 68696096 83158432 98750638 112857872 137392192 166316864 197501276 225715744 395002552 451431488 790005104 1580010208 3160020416