Search a number
-
+
15961368 = 23317192971
BaseRepresentation
bin111100111000…
…110100011000
31010000220212210
4330320310120
513041230433
61330035120
7252445413
oct74706430
933026783
1015961368
119012015
125418aa0
1333cb0c7
142196b7a
151604463
hexf38d18

15961368 has 128 divisors (see below), whose sum is σ = 46656000. Its totient is φ = 4515840.

The previous prime is 15961367. The next prime is 15961381. The reversal of 15961368 is 86316951.

15961368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15961367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224773 + ... + 224843.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 215961368 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 15961368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328000).

15961368 is an abundant number, since it is smaller than the sum of its proper divisors (30694632).

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

15961368 is a wasteful number, since it uses less digits than its factorization.

15961368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 15961368 is about 3995.1680815705. The cubic root of 15961368 is about 251.7812412436.

The spelling of 15961368 in words is "fifteen million, nine hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 29 34 38 51 57 58 68 71 76 87 102 114 116 136 142 152 174 204 213 228 232 284 323 348 408 426 456 493 551 568 646 696 852 969 986 1102 1207 1292 1349 1479 1653 1704 1938 1972 2059 2204 2414 2584 2698 2958 3306 3621 3876 3944 4047 4118 4408 4828 5396 5916 6177 6612 7242 7752 8094 8236 9367 9656 10792 11832 12354 13224 14484 16188 16472 18734 22933 24708 28101 28968 32376 35003 37468 39121 45866 49416 56202 68799 70006 74936 78242 91732 105009 112404 117363 137598 140012 156484 183464 210018 224808 234726 275196 280024 312968 420036 469452 550392 665057 840072 938904 1330114 1995171 2660228 3990342 5320456 7980684 15961368