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197413416 = 23332379503
BaseRepresentation
bin10111100010001…
…00101000101000
3111202110122022000
423301010220220
5401014212131
631331131000
74614662214
oct1361045050
9452418260
10197413416
11a1486692
1256143a60
1331b8cb95
141c30b944
15124e7ce6
hexbc44a28

197413416 has 128 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 62023104.

The previous prime is 197413409. The next prime is 197413421. The reversal of 197413416 is 614314791.

197413416 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392221 + ... + 392723.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2197413416 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 197413416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

197413416 is an abundant number, since it is smaller than the sum of its proper divisors (383194584).

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

197413416 is a wasteful number, since it uses less digits than its factorization.

197413416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 197413416 is about 14050.3884643806. The cubic root of 197413416 is about 582.2715280993.

The spelling of 197413416 in words is "one hundred ninety-seven million, four hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 79 92 108 138 158 184 207 216 237 276 316 414 474 503 552 621 632 711 828 948 1006 1242 1422 1509 1656 1817 1896 2012 2133 2484 2844 3018 3634 4024 4266 4527 4968 5451 5688 6036 7268 8532 9054 10902 11569 12072 13581 14536 16353 17064 18108 21804 23138 27162 32706 34707 36216 39737 43608 46276 49059 54324 65412 69414 79474 92552 98118 104121 108648 119211 130824 138828 158948 196236 208242 238422 277656 312363 317896 357633 392472 416484 476844 624726 715266 832968 913951 953688 1072899 1249452 1430532 1827902 2145798 2498904 2741853 2861064 3655804 4291596 5483706 7311608 8225559 8583192 10967412 16451118 21934824 24676677 32902236 49353354 65804472 98706708 197413416