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9059040 = 25355233
BaseRepresentation
bin100010100011…
…101011100000
3122001020200000
4202203223200
54304342130
6522100000
7140000124
oct42435340
918036600
109059040
115128211
12304a600
131b524a3
1412bb584
15bde260
hex8a3ae0

9059040 has 144 divisors (see below), whose sum is σ = 32196528. Its totient is φ = 2405376.

The previous prime is 9059027. The next prime is 9059053. The reversal of 9059040 is 409509.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9059027) and next prime (9059053).

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 (27).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 9058995 and 9059013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38764 + ... + 38996.

It is an arithmetic number, because the mean of its divisors is an integer number (223587).

Almost surely, 29059040 is an apocalyptic number.

9059040 is a gapful number since it is divisible by the number (90) 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 9059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098264).

9059040 is an abundant number, since it is smaller than the sum of its proper divisors (23137488).

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

9059040 is a wasteful number, since it uses less digits than its factorization.

9059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9059040 is about 3009.8239151153. The cubic root of 9059040 is about 208.4622363157.

The spelling of 9059040 in words is "nine million, fifty-nine thousand, 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 81 90 96 108 120 135 144 160 162 180 216 233 240 243 270 288 324 360 405 432 466 480 486 540 648 699 720 810 864 932 972 1080 1165 1215 1296 1398 1440 1620 1864 1944 2097 2160 2330 2430 2592 2796 3240 3495 3728 3888 4194 4320 4660 4860 5592 6291 6480 6990 7456 7776 8388 9320 9720 10485 11184 12582 12960 13980 16776 18640 18873 19440 20970 22368 25164 27960 31455 33552 37280 37746 38880 41940 50328 55920 56619 62910 67104 75492 83880 94365 100656 111840 113238 125820 150984 167760 188730 201312 226476 251640 283095 301968 335520 377460 452952 503280 566190 603936 754920 905904 1006560 1132380 1509840 1811808 2264760 3019680 4529520 9059040