Search a number
-
+
94331980 = 225174167101
BaseRepresentation
bin1011001111101…
…10010001001100
320120111120011001
411213312101030
5143122110410
613205510044
72223544231
oct547662114
9216446131
1094331980
1149280016
1227712324
131670a952
14c757788
15843533a
hex59f644c

94331980 has 96 divisors (see below), whose sum is σ = 220231872. Its totient is φ = 33792000.

The previous prime is 94331957. The next prime is 94331989. The reversal of 94331980 is 8913349.

94331980 is a nontrivial binomial coefficient, being equal to C(13736, 2).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (94331989) 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, 933930 + ... + 934030.

It is an arithmetic number, because the mean of its divisors is an integer number (2294082).

Almost surely, 294331980 is an apocalyptic number.

94331980 is the 13735-th triangular number and also the 6868-th hexagonal number.

94331980 is the 4579-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94331980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110115936).

94331980 is an abundant number, since it is smaller than the sum of its proper divisors (125899892).

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

94331980 is a wasteful number, since it uses less digits than its factorization.

94331980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 94331980 is about 9712.4651865528. The cubic root of 94331980 is about 455.2182344801.

It can be divided in two parts, 943 and 31980, that added together give a palindrome (32923).

The spelling of 94331980 in words is "ninety-four million, three hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 41 67 68 82 85 101 134 164 170 202 205 268 335 340 404 410 505 670 697 820 1010 1139 1340 1394 1717 2020 2278 2747 2788 3434 3485 4141 4556 5494 5695 6767 6868 6970 8282 8585 10988 11390 13534 13735 13940 16564 17170 20705 22780 27068 27470 33835 34340 41410 46699 54940 67670 70397 82820 93398 115039 135340 140794 186796 230078 233495 277447 281588 351985 460156 466990 554894 575195 703970 933980 1109788 1150390 1387235 1407940 2300780 2774470 4716599 5548940 9433198 18866396 23582995 47165990 94331980