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2104041152 = 2619103107157
BaseRepresentation
bin111110101101001…
…0001111011000000
312102122010100212002
41331122101323000
513302113304102
6544440523132
7103066024523
oct17532217300
95378110762
102104041152
1198a749294
124a87804a8
13276ba4385
1415d61cbba
15c4ab4902
hex7d691ec0

2104041152 has 112 divisors (see below), whose sum is σ = 4507626240. Its totient is φ = 971523072.

The previous prime is 2104041143. The next prime is 2104041161. The reversal of 2104041152 is 2511404012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2104041143) and next prime (2104041161).

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, 13401458 + ... + 13401614.

Almost surely, 22104041152 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 2104041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253813120).

2104041152 is an abundant number, since it is smaller than the sum of its proper divisors (2403585088).

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

2104041152 is a wasteful number, since it uses less digits than its factorization.

2104041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2104041152 is about 45869.8283406424. The cubic root of 2104041152 is about 1281.4000696019.

Adding to 2104041152 its reverse (2511404012), we get a palindrome (4615445164).

The spelling of 2104041152 in words is "two billion, one hundred four million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 103 107 152 157 206 214 304 314 412 428 608 628 824 856 1216 1256 1648 1712 1957 2033 2512 2983 3296 3424 3914 4066 5024 5966 6592 6848 7828 8132 10048 11021 11932 15656 16171 16264 16799 22042 23864 31312 32342 32528 33598 44084 47728 62624 64684 65056 67196 88168 95456 125248 129368 130112 134392 176336 190912 209399 258736 268784 307249 319181 352672 418798 517472 537568 614498 638362 705344 837596 1034944 1075136 1228996 1276724 1675192 1730297 2457992 2553448 3350384 3460594 4915984 5106896 6700768 6921188 9831968 10213792 13401536 13842376 19663936 20427584 27684752 32875643 55369504 65751286 110739008 131502572 263005144 526010288 1052020576 2104041152