Search a number
-
+
196921620 = 223257373419
BaseRepresentation
bin10111011110011…
…00100100010100
3111201112122200100
423233030210110
5400402442440
631312414100
74610543340
oct1357144424
9451478610
10196921620
11a1180145
1255b47330
1331a4a08c
141c220620
151244c230
hexbbcc914

196921620 has 144 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 44782848.

The previous prime is 196921583. The next prime is 196921649. The reversal of 196921620 is 26129691.

196921620 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 21 + 620 = 666.

196921620 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469771 + ... + 470189.

It is an arithmetic number, because the mean of its divisors is an integer number (4764760).

Almost surely, 2196921620 is an apocalyptic number.

196921620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196921620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062720).

196921620 is an abundant number, since it is smaller than the sum of its proper divisors (489203820).

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

196921620 is a wasteful number, since it uses less digits than its factorization.

196921620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 196921620 is about 14032.8763979449. The cubic root of 196921620 is about 581.7876080495.

It can be divided in two parts, 19692 and 1620, that added together give a palindrome (21312).

The spelling of 196921620 in words is "one hundred ninety-six million, nine hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 373 419 420 630 746 838 1119 1257 1260 1492 1676 1865 2095 2238 2514 2611 2933 3357 3730 3771 4190 4476 5028 5222 5595 5866 6285 6714 7460 7542 7833 8380 8799 10444 11190 11732 12570 13055 13428 14665 15084 15666 16785 17598 18855 22380 23499 25140 26110 26397 29330 31332 33570 35196 37710 39165 43995 46998 52220 52794 58660 67140 75420 78330 87990 93996 105588 117495 131985 156287 156660 175980 234990 263970 312574 468861 469980 527940 625148 781435 937722 1094009 1406583 1562870 1875444 2188018 2344305 2813166 3125740 3282027 4376036 4688610 5470045 5626332 6564054 7032915 9377220 9846081 10940090 13128108 14065830 16410135 19692162 21880180 28131660 32820270 39384324 49230405 65640540 98460810 196921620