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117079000 = 2353177197
BaseRepresentation
bin1101111101001…
…11101111011000
322011022020012021
412332213233120
5214433012000
615341224224
72621104123
oct676475730
9264266167
10117079000
11600a7205
1233262074
131b34351c
14117993ba
15a42a11a
hex6fa7bd8

117079000 has 128 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 43008000.

The previous prime is 117078979. The next prime is 117079009. The reversal of 117079000 is 970711.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117079009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206952 + ... + 1207048.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2117079000 is an apocalyptic number.

117079000 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 117079000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

117079000 is an abundant number, since it is smaller than the sum of its proper divisors (180119720).

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

117079000 is a wasteful number, since it uses less digits than its factorization.

117079000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 117079000 is about 10820.3049864595. The cubic root of 117079000 is about 489.2073816180.

The spelling of 117079000 in words is "one hundred seventeen million, seventy-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 71 85 97 100 125 136 142 170 194 200 250 284 340 355 388 425 485 500 568 680 710 776 850 970 1000 1207 1420 1649 1700 1775 1940 2125 2414 2425 2840 3298 3400 3550 3880 4250 4828 4850 6035 6596 6887 7100 8245 8500 8875 9656 9700 12070 12125 13192 13774 14200 16490 17000 17750 19400 24140 24250 27548 30175 32980 34435 35500 41225 48280 48500 55096 60350 65960 68870 71000 82450 97000 117079 120700 137740 150875 164900 172175 206125 234158 241400 275480 301750 329800 344350 412250 468316 585395 603500 688700 824500 860875 936632 1170790 1207000 1377400 1649000 1721750 2341580 2926975 3443500 4683160 5853950 6887000 11707900 14634875 23415800 29269750 58539500 117079000