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197285440 = 26511411367
BaseRepresentation
bin10111100001001…
…01011001000000
3111202020010202011
423300211121000
5401001113230
631324302304
74613620132
oct1360453100
9452203664
10197285440
11a13a9520
12560a1994
1331b46861
141c2b7052
15124bee2a
hexbc25640

197285440 has 112 divisors (see below), whose sum is σ = 525377664. Its totient is φ = 69939200.

The previous prime is 197285437. The next prime is 197285449. The reversal of 197285440 is 44582791.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 197285393 and 197285402.

It is not an unprimeable number, because it can be changed into a prime (197285449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143637 + ... + 145003.

It is an arithmetic number, because the mean of its divisors is an integer number (4690872).

Almost surely, 2197285440 is an apocalyptic number.

197285440 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 197285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).

197285440 is an abundant number, since it is smaller than the sum of its proper divisors (328092224).

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

197285440 is a wasteful number, since it uses less digits than its factorization.

197285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 197285440 is about 14045.8335459310. The cubic root of 197285440 is about 582.1456790215.

The spelling of 197285440 in words is "one hundred ninety-seven million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 410 440 451 656 704 820 880 902 1312 1367 1640 1760 1804 2255 2624 2734 3280 3520 3608 4510 5468 6560 6835 7216 9020 10936 13120 13670 14432 15037 18040 21872 27340 28864 30074 36080 43744 54680 56047 60148 72160 75185 87488 109360 112094 120296 144320 150370 218720 224188 240592 280235 300740 437440 448376 481184 560470 601480 616517 896752 962368 1120940 1202960 1233034 1793504 2241880 2405920 2466068 3082585 3587008 4483760 4811840 4932136 6165170 8967520 9864272 12330340 17935040 19728544 24660680 39457088 49321360 98642720 197285440