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117320000 = 26547419
BaseRepresentation
bin1101111111000…
…10100101000000
322011202110210012
412333202211000
5220013220000
615350324052
72623126550
oct677424500
9264673705
10117320000
1160251286
1233359628
131b3c9125
141181d160
15a476735
hex6fe2940

117320000 has 140 divisors (see below), whose sum is σ = 333268320. Its totient is φ = 40128000.

The previous prime is 117319999. The next prime is 117320011. The reversal of 117320000 is 23711.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279791 + ... + 280209.

It is an arithmetic number, because the mean of its divisors is an integer number (2380488).

Almost surely, 2117320000 is an apocalyptic number.

117320000 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 117320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166634160).

117320000 is an abundant number, since it is smaller than the sum of its proper divisors (215948320).

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

117320000 is an frugal number, since it uses more digits than its factorization.

117320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 117320000 is about 10831.4357312408. The cubic root of 117320000 is about 489.5428194431.

Adding to 117320000 its reverse (23711), we get a palindrome (117343711).

The spelling of 117320000 in words is "one hundred seventeen million, three hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 419 448 500 560 625 700 800 838 875 1000 1120 1250 1400 1600 1676 1750 2000 2095 2240 2500 2800 2933 3352 3500 4000 4190 4375 5000 5600 5866 6704 7000 8000 8380 8750 10000 10475 11200 11732 13408 14000 14665 16760 17500 20000 20950 23464 26816 28000 29330 33520 35000 40000 41900 46928 52375 56000 58660 67040 70000 73325 83800 93856 104750 117320 134080 140000 146650 167600 187712 209500 234640 261875 280000 293300 335200 366625 419000 469280 523750 586600 670400 733250 838000 938560 1047500 1173200 1466500 1676000 1833125 2095000 2346400 2933000 3352000 3666250 4190000 4692800 5866000 7332500 8380000 11732000 14665000 16760000 23464000 29330000 58660000 117320000