Search a number
-
+
980367840 = 25335226937
BaseRepresentation
bin111010011011110…
…011100111100000
32112022201211212000
4322123303213200
54001433232330
6241140404000
733202663164
oct7233634740
92468654760
10980367840
11463434961
122343a6600
1312815531a
14942baca4
155b104560
hex3a6f39e0

980367840 has 96 divisors (see below), whose sum is σ = 3431302560. Its totient is φ = 261430272.

The previous prime is 980367821. The next prime is 980367853. The reversal of 980367840 is 48763089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9803678402 = 1922242203412531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 109149 + ... + 117788.

It is an arithmetic number, because the mean of its divisors is an integer number (35742735).

Almost surely, 2980367840 is an apocalyptic number.

980367840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

980367840 is an abundant number, since it is smaller than the sum of its proper divisors (2450934720).

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

980367840 is a wasteful number, since it uses less digits than its factorization.

980367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226961 (or 226947 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 980367840 is about 31310.8262426912. The cubic root of 980367840 is about 993.4126487523.

The spelling of 980367840 in words is "nine hundred eighty million, three hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 226937 453874 680811 907748 1134685 1361622 1815496 2042433 2269370 2723244 3404055 3630992 4084866 4538740 5446488 6127299 6808110 7261984 8169732 9077480 10212165 10892976 12254598 13616220 16339464 18154960 20424330 21785952 24509196 27232440 30636495 32678928 36309920 40848660 49018392 54464880 61272990 65357856 81697320 98036784 108929760 122545980 163394640 196073568 245091960 326789280 490183920 980367840