Search a number
-
+
212740788 = 223131797827
BaseRepresentation
bin11001010111000…
…10101010110100
3112211022100111110
430223202222310
5413430201123
633035435020
75162160351
oct1453425264
9484270443
10212740788
11aa0a5337
125b2b5a70
13350c8530
142037b628
1513a24493
hexcae2ab4

212740788 has 96 divisors (see below), whose sum is σ = 572552064. Its totient is φ = 60899328.

The previous prime is 212740783. The next prime is 212740807. The reversal of 212740788 is 887047212.

212740788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212740783) 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, 256831 + ... + 257657.

It is an arithmetic number, because the mean of its divisors is an integer number (5964084).

Almost surely, 2212740788 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 212740788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286276032).

212740788 is an abundant number, since it is smaller than the sum of its proper divisors (359811276).

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

212740788 is a wasteful number, since it uses less digits than its factorization.

212740788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 212740788 is about 14585.6363591034. The cubic root of 212740788 is about 596.9669041637.

The spelling of 212740788 in words is "two hundred twelve million, seven hundred forty thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 97 102 156 194 204 221 291 388 442 582 663 827 884 1164 1261 1326 1649 1654 2481 2522 2652 3298 3308 3783 4947 4962 5044 6596 7566 9894 9924 10751 14059 15132 19788 21437 21502 28118 32253 42177 42874 43004 56236 64311 64506 80219 84354 85748 128622 129012 160438 168708 182767 240657 257244 320876 365534 481314 548301 731068 962628 1042847 1096602 1363723 2085694 2193204 2727446 3128541 4091169 4171388 5454892 6257082 8182338 12514164 16364676 17728399 35456798 53185197 70913596 106370394 212740788