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117349120 = 285721871
BaseRepresentation
bin1101111111010…
…01101100000000
322011210221201201
412333221230000
5220020132440
615351110544
72623310500
oct677515400
9264727651
10117349120
1160271149
1233372454
131b409465
1411829a00
15a48019a
hex6fe9b00

117349120 has 108 divisors (see below), whose sum is σ = 327154464. Its totient is φ = 40212480.

The previous prime is 117349117. The next prime is 117349121. The reversal of 117349120 is 21943711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (117349121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61785 + ... + 63655.

It is an arithmetic number, because the mean of its divisors is an integer number (3029208).

Almost surely, 2117349120 is an apocalyptic number.

117349120 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 117349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232).

117349120 is an abundant number, since it is smaller than the sum of its proper divisors (209805344).

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

117349120 is an equidigital number, since it uses as much as digits as its factorization.

117349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 117349120 is about 10832.7798832987. The cubic root of 117349120 is about 489.5833192375.

The spelling of 117349120 in words is "one hundred seventeen million, three hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1871 1960 2240 3136 3742 3920 4480 6272 7484 7840 8960 9355 12544 13097 14968 15680 18710 26194 29936 31360 37420 52388 59872 62720 65485 74840 91679 104776 119744 130970 149680 183358 209552 239488 261940 299360 366716 419104 458395 478976 523880 598720 733432 838208 916790 1047760 1197440 1466864 1676416 1833580 2095520 2394880 2933728 3352832 3667160 4191040 5867456 7334320 8382080 11734912 14668640 16764160 23469824 29337280 58674560 117349120