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117834220 = 2257389193
BaseRepresentation
bin1110000011000…
…00000111101100
322012201121011101
413001200013230
5220131143340
615405332444
72630401000
oct701400754
9265647141
10117834220
1160572659
1233567124
131b5491ba
1411914700
15a528c9a
hex70601ec

117834220 has 96 divisors (see below), whose sum is σ = 293328000. Its totient is φ = 39739392.

The previous prime is 117834169. The next prime is 117834229. The reversal of 117834220 is 22438711.

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 (117834229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610444 + ... + 610636.

It is an arithmetic number, because the mean of its divisors is an integer number (3055500).

Almost surely, 2117834220 is an apocalyptic number.

117834220 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 117834220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146664000).

117834220 is an abundant number, since it is smaller than the sum of its proper divisors (175493780).

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

117834220 is a wasteful number, since it uses less digits than its factorization.

117834220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 117834220 is about 10855.1471662065. The cubic root of 117834220 is about 490.2570080313.

The spelling of 117834220 in words is "one hundred seventeen million, eight hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 89 98 140 178 193 196 245 343 356 386 445 490 623 686 772 890 965 980 1246 1351 1372 1715 1780 1930 2492 2702 3115 3430 3860 4361 5404 6230 6755 6860 8722 9457 12460 13510 17177 17444 18914 21805 27020 30527 34354 37828 43610 47285 61054 66199 68708 85885 87220 94570 120239 122108 132398 152635 171770 189140 240478 264796 305270 330995 343540 480956 601195 610540 661990 841673 1202390 1323980 1683346 2404780 3366692 4208365 5891711 8416730 11783422 16833460 23566844 29458555 58917110 117834220