Search a number
-
+
1038194640 = 243257205991
BaseRepresentation
bin111101111000011…
…001011111010000
32200100112202022100
4331320121133100
54111234212030
6251004040400
734504336350
oct7570313720
92610482270
101038194640
11493040aaa
1224b833100
13137121072
149bc50b60
1561228360
hex3de197d0

1038194640 has 120 divisors (see below), whose sum is σ = 3984709248. Its totient is φ = 237300480.

The previous prime is 1038194639. The next prime is 1038194657. The reversal of 1038194640 is 464918301.

1038194640 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 9 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10381946402 = 2155696221049459200, which contains 22 as substring.

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 = 1038194595 and 1038194604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97956 + ... + 108035.

Almost surely, 21038194640 is an apocalyptic number.

1038194640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038194640 is an abundant number, since it is smaller than the sum of its proper divisors (2946514608).

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

1038194640 is a wasteful number, since it uses less digits than its factorization.

1038194640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206017 (or 206008 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1038194640 is about 32221.0279165641. The cubic root of 1038194640 is about 1012.5728086645.

The spelling of 1038194640 in words is "one billion, thirty-eight million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 205991 411982 617973 823964 1029955 1235946 1441937 1647928 1853919 2059910 2471892 2883874 3089865 3295856 3707838 4119820 4325811 4943784 5767748 6179730 7209685 7415676 8239640 8651622 9269595 9887568 11535496 12359460 12977433 14419370 14831352 16479280 17303244 18539190 21629055 23070992 24718920 25954866 28838740 29662704 34606488 37078380 43258110 49437840 51909732 57677480 64887165 69212976 74156760 86516220 103819464 115354960 129774330 148313520 173032440 207638928 259548660 346064880 519097320 1038194640