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168414380 = 2253726151
BaseRepresentation
bin10100000100111…
…00110010101100
3102201220100002122
422002130302230
5321103230010
624413412112
74113333011
oct1202346254
9381810078
10168414380
118707a242
124849a038
1328b786a4
141851d708
15ebba855
hexa09ccac

168414380 has 36 divisors (see below), whose sum is σ = 363546288. Its totient is φ = 65534400.

The previous prime is 168414361. The next prime is 168414383. The reversal of 168414380 is 83414861.

168414380 = T116 + T117 + ... + T1003.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 168414380.

It is not an unprimeable number, because it can be changed into a prime (168414383) 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, 24305 + ... + 30455.

It is an arithmetic number, because the mean of its divisors is an integer number (10098508).

Almost surely, 2168414380 is an apocalyptic number.

168414380 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 168414380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181773144).

168414380 is an abundant number, since it is smaller than the sum of its proper divisors (195131908).

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

168414380 is a wasteful number, since it uses less digits than its factorization.

168414380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 168414380 is about 12977.4566075175. The cubic root of 168414380 is about 552.2381306459.

The spelling of 168414380 in words is "one hundred sixty-eight million, four hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6151 6845 12302 13690 24604 27380 30755 61510 123020 227587 455174 910348 1137935 2275870 4551740 8420719 16841438 33682876 42103595 84207190 168414380