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117603620 = 225171133061
BaseRepresentation
bin1110000001001…
…11110100100100
322012021212211122
413000213310210
5220101303440
615400353112
72625420461
oct700476444
9265255748
10117603620
1160425382
1233475798
131b498254
1411894668
15a4d07b5
hex7027d24

117603620 has 48 divisors (see below), whose sum is σ = 263895408. Its totient is φ = 43868160.

The previous prime is 117603611. The next prime is 117603641. The reversal of 117603620 is 26306711.

It can be written as a sum of positive squares in 8 ways, for example, as 141376 + 117462244 = 376^2 + 10838^2 .

It is a super-2 number, since 2×1176036202 = 27661222874208800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117603620.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36890 + ... + 39950.

It is an arithmetic number, because the mean of its divisors is an integer number (5497821).

Almost surely, 2117603620 is an apocalyptic number.

117603620 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 117603620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947704).

117603620 is an abundant number, since it is smaller than the sum of its proper divisors (146291788).

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

117603620 is a wasteful number, since it uses less digits than its factorization.

117603620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 117603620 is about 10844.5202752358. The cubic root of 117603620 is about 489.9369903707.

The spelling of 117603620 in words is "one hundred seventeen million, six hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3061 3842 6122 7684 9605 12244 15305 19210 30610 38420 52037 61220 104074 208148 260185 345893 520370 691786 1040740 1383572 1729465 3458930 5880181 6917860 11760362 23520724 29400905 58801810 117603620