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117635970 = 23541591621
BaseRepresentation
bin1110000001011…
…11101110000010
322012100112012210
413000233232002
5220103322340
615401202550
72625614004
oct700575602
9265315183
10117635970
1160447711
1233490456
131b4a9baa
14118a2374
15a4da180
hex702fb82

117635970 has 64 divisors (see below), whose sum is σ = 294295680. Its totient is φ = 30067200.

The previous prime is 117635941. The next prime is 117635981. The reversal of 117635970 is 79536711.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 71760 + ... + 73380.

It is an arithmetic number, because the mean of its divisors is an integer number (4598370).

Almost surely, 2117635970 is an apocalyptic number.

117635970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117635970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147147840).

117635970 is an abundant number, since it is smaller than the sum of its proper divisors (176659710).

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

117635970 is a wasteful number, since it uses less digits than its factorization.

117635970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 117635970 is about 10846.0117093796. The cubic root of 117635970 is about 489.9819096473.

The spelling of 117635970 in words is "one hundred seventeen million, six hundred thirty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 59 82 118 123 177 205 246 295 354 410 590 615 885 1230 1621 1770 2419 3242 4838 4863 7257 8105 9726 12095 14514 16210 24190 24315 36285 48630 66461 72570 95639 132922 191278 199383 286917 332305 398766 478195 573834 664610 956390 996915 1434585 1993830 2869170 3921199 7842398 11763597 19605995 23527194 39211990 58817985 117635970