Search a number
-
+
193489680 = 24354318749
BaseRepresentation
bin10111000100001…
…10101100010000
3111111002021221110
423202012230100
5344013132210
631111053320
74536430566
oct1342065420
9444067843
10193489680
119a24672a
1254971240
1331117c47
141b9a9a36
1511ec0420
hexb886b10

193489680 has 80 divisors (see below), whose sum is σ = 613800000. Its totient is φ = 50394624.

The previous prime is 193489679. The next prime is 193489717. The reversal of 193489680 is 86984391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 946 + ... + 19694.

It is an arithmetic number, because the mean of its divisors is an integer number (7672500).

Almost surely, 2193489680 is an apocalyptic number.

193489680 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 193489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900000).

193489680 is an abundant number, since it is smaller than the sum of its proper divisors (420310320).

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

193489680 is a wasteful number, since it uses less digits than its factorization.

193489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18808 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 193489680 is about 13910.0567935577. The cubic root of 193489680 is about 578.3879931470.

The spelling of 193489680 in words is "one hundred ninety-three million, four hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 18749 37498 56247 74996 93745 112494 149992 187490 224988 281235 299984 374980 449976 562470 749960 806207 899952 1124940 1499920 1612414 2249880 2418621 3224828 4031035 4499760 4837242 6449656 8062070 9674484 12093105 12899312 16124140 19348968 24186210 32248280 38697936 48372420 64496560 96744840 193489680