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197681440 = 25511176607
BaseRepresentation
bin10111100100001…
…10000100100000
3111202222020221211
423302012010200
5401101301230
631340555504
74620156505
oct1362060440
9452866854
10197681440
11a1649aa0
1256252b94
1331c54b88
141c37b4ac
151254c42a
hexbc86120

197681440 has 96 divisors (see below), whose sum is σ = 539529984. Its totient is φ = 67645440.

The previous prime is 197681437. The next prime is 197681461. The reversal of 197681440 is 44186791.

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 = 197681393 and 197681402.

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, 26617 + ... + 33223.

It is an arithmetic number, because the mean of its divisors is an integer number (5620104).

Almost surely, 2197681440 is an apocalyptic number.

197681440 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 197681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269764992).

197681440 is an abundant number, since it is smaller than the sum of its proper divisors (341848544).

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

197681440 is a wasteful number, since it uses less digits than its factorization.

197681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 197681440 is about 14059.9231861344. The cubic root of 197681440 is about 582.5349214943.

The spelling of 197681440 in words is "one hundred ninety-seven million, six hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 6607 7480 13214 14960 26428 29920 33035 52856 66070 72677 105712 112319 132140 145354 211424 224638 264280 290708 363385 449276 528560 561595 581416 726770 898552 1057120 1123190 1162832 1235509 1453540 1797104 2246380 2325664 2471018 2907080 3594208 4492760 4942036 5814160 6177545 8985520 9884072 11628320 12355090 17971040 19768144 24710180 39536288 49420360 98840720 197681440