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197816640 = 2635729437
BaseRepresentation
bin10111100101001…
…11000101000000
3111210020010102020
423302213011000
5401120113030
631343521440
74621261620
oct1362470500
9453203366
10197816640
11a173162a
12562b9280
1331ca1588
141c3b4880
1512577510
hexbca7140

197816640 has 112 divisors (see below), whose sum is σ = 717816192. Its totient is φ = 45213696.

The previous prime is 197816621. The next prime is 197816683. The reversal of 197816640 is 46618791.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 197816592 and 197816601.

It is a congruent number.

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, 7999 + ... + 21438.

Almost surely, 2197816640 is an apocalyptic number.

197816640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197816640 is an abundant number, since it is smaller than the sum of its proper divisors (519999552).

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

197816640 is a wasteful number, since it uses less digits than its factorization.

197816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29464 (or 29454 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 197816640 is about 14064.7303564626. The cubic root of 197816640 is about 582.6676953368.

The spelling of 197816640 in words is "one hundred ninety-seven million, eight hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 29437 58874 88311 117748 147185 176622 206059 235496 294370 353244 412118 441555 470992 588740 618177 706488 824236 883110 941984 1030295 1177480 1236354 1412976 1648472 1766220 1883968 2060590 2354960 2472708 2825952 3090885 3296944 3532440 4121180 4709920 4945416 5651904 6181770 6593888 7064880 8242360 9419840 9890832 12363540 13187776 14129760 16484720 19781664 24727080 28259520 32969440 39563328 49454160 65938880 98908320 197816640