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197434080 = 25325167821
BaseRepresentation
bin10111100010010…
…01101011100000
3111202111200122100
423301021223200
5401020342310
631331410400
74615106364
oct1361115340
9452450570
10197434080
11a14a0168
1256153a00
1331b993cc
141c3152a4
15124edec0
hexbc49ae0

197434080 has 144 divisors (see below), whose sum is σ = 678603744. Its totient is φ = 52270080.

The previous prime is 197434079. The next prime is 197434123. The reversal of 197434080 is 80434791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240070 + ... + 240890.

It is an arithmetic number, because the mean of its divisors is an integer number (4712526).

Almost surely, 2197434080 is an apocalyptic number.

197434080 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 197434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339301872).

197434080 is an abundant number, since it is smaller than the sum of its proper divisors (481169664).

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

197434080 is a wasteful number, since it uses less digits than its factorization.

197434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 197434080 is about 14051.1237984725. The cubic root of 197434080 is about 582.2918435695.

The spelling of 197434080 in words is "one hundred ninety-seven million, four hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 167 180 240 288 334 360 480 501 668 720 821 835 1002 1336 1440 1503 1642 1670 2004 2463 2505 2672 3006 3284 3340 4008 4105 4926 5010 5344 6012 6568 6680 7389 7515 8016 8210 9852 10020 12024 12315 13136 13360 14778 15030 16032 16420 19704 20040 24048 24630 26272 26720 29556 30060 32840 36945 39408 40080 48096 49260 59112 60120 65680 73890 78816 80160 98520 118224 120240 131360 137107 147780 197040 236448 240480 274214 295560 394080 411321 548428 591120 685535 822642 1096856 1182240 1233963 1371070 1645284 2056605 2193712 2467926 2742140 3290568 4113210 4387424 4935852 5484280 6169815 6581136 8226420 9871704 10968560 12339630 13162272 16452840 19743408 21937120 24679260 32905680 39486816 49358520 65811360 98717040 197434080