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197748240 = 24357311287
BaseRepresentation
bin10111100100101…
…10011000010000
3111210002122120220
423302112120100
5401110420430
631342233040
74620555324
oct1362263020
9453078526
10197748240
11a16951a8
1256285780
1331c793c1
141c397984
1512562110
hexbc96610

197748240 has 80 divisors (see below), whose sum is σ = 621472128. Its totient is φ = 52005888.

The previous prime is 197748193. The next prime is 197748259. The reversal of 197748240 is 42847791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 197748192 and 197748201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11877 + ... + 23163.

Almost surely, 2197748240 is an apocalyptic number.

197748240 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 197748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310736064).

197748240 is an abundant number, since it is smaller than the sum of its proper divisors (423723888).

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

197748240 is a wasteful number, since it uses less digits than its factorization.

197748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11376 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 197748240 is about 14062.2985318902. The cubic root of 197748240 is about 582.6005303352.

The spelling of 197748240 in words is "one hundred ninety-seven million, seven hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 11287 17520 22574 33861 45148 56435 67722 90296 112870 135444 169305 180592 225740 270888 338610 451480 541776 677220 823951 902960 1354440 1647902 2471853 2708880 3295804 4119755 4943706 6591608 8239510 9887412 12359265 13183216 16479020 19774824 24718530 32958040 39549648 49437060 65916080 98874120 197748240