Search a number
-
+
7890696 = 23371141
BaseRepresentation
bin11110000110011100001000
3112211220000000
4132012130020
54010000241
6441043000
7124032642
oct36063410
915756000
107890696
1144aa440
122786460
131833768
141095892
15a5ceb6
hex786708

7890696 has 128 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 2332800.

The previous prime is 7890691. The next prime is 7890713. The reversal of 7890696 is 6960987.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7890691) 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, 192436 + ... + 192476.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

Almost surely, 27890696 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 7890696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

7890696 is an abundant number, since it is smaller than the sum of its proper divisors (16906104).

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

7890696 is a wasteful number, since it uses less digits than its factorization.

7890696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7890696 is about 2809.0382695862. The cubic root of 7890696 is about 199.0849531646.

The spelling of 7890696 in words is "seven million, eight hundred ninety thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 81 82 88 99 108 123 132 162 164 198 216 243 246 264 297 324 328 369 396 451 486 492 594 648 729 738 792 891 902 972 984 1107 1188 1353 1458 1476 1782 1804 1944 2187 2214 2376 2673 2706 2916 2952 3321 3564 3608 4059 4374 4428 5346 5412 5832 6642 7128 8019 8118 8748 8856 9963 10692 10824 12177 13284 16038 16236 17496 19926 21384 24057 24354 26568 29889 32076 32472 36531 39852 48114 48708 59778 64152 73062 79704 89667 96228 97416 109593 119556 146124 179334 192456 219186 239112 292248 328779 358668 438372 657558 717336 876744 986337 1315116 1972674 2630232 3945348 7890696