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197681040 = 24335711289
BaseRepresentation
bin10111100100001…
…01111110010000
3111202222020102000
423302011332100
5401101243130
631340554000
74620155364
oct1362057620
9452866360
10197681040
11a1649767
1256252900
1331c5493b
141c37b2a4
151254c260
hexbc85f90

197681040 has 160 divisors (see below), whose sum is σ = 691027200. Its totient is φ = 51932160.

The previous prime is 197681027. The next prime is 197681041. The reversal of 197681040 is 40186791.

197681040 is digitally balanced in base 2, 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 junction number, because it is equal to n+sod(n) for n = 197680986 and 197681004.

It is not an unprimeable number, because it can be changed into a prime (197681041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152716 + ... + 154004.

It is an arithmetic number, because the mean of its divisors is an integer number (4318920).

Almost surely, 2197681040 is an apocalyptic number.

197681040 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 197681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345513600).

197681040 is an abundant number, since it is smaller than the sum of its proper divisors (493346160).

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

197681040 is a wasteful number, since it uses less digits than its factorization.

197681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 197681040 is about 14059.9089612984. The cubic root of 197681040 is about 582.5345285825.

The spelling of 197681040 in words is "one hundred ninety-seven million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 180 213 216 240 270 284 355 360 426 432 540 568 639 710 720 852 1065 1080 1136 1278 1289 1420 1704 1917 2130 2160 2556 2578 2840 3195 3408 3834 3867 4260 5112 5156 5680 6390 6445 7668 7734 8520 9585 10224 10312 11601 12780 12890 15336 15468 17040 19170 19335 20624 23202 25560 25780 30672 30936 34803 38340 38670 46404 51120 51560 58005 61872 69606 76680 77340 91519 92808 103120 116010 139212 153360 154680 174015 183038 185616 232020 274557 278424 309360 348030 366076 457595 464040 549114 556848 696060 732152 823671 915190 928080 1098228 1372785 1392120 1464304 1647342 1830380 2196456 2471013 2745570 2784240 3294684 3660760 4118355 4392912 4942026 5491140 6589368 7321520 8236710 9884052 10982280 12355065 13178736 16473420 19768104 21964560 24710130 32946840 39536208 49420260 65893680 98840520 197681040