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1601410090 = 257312273251
BaseRepresentation
bin101111101110011…
…1001010000101010
311010121100001122211
41133130321100222
511234430110330
6422523435334
754453522040
oct13734712052
94117301584
101601410090
11751a55115
12388385b4a
131c6a0a847
14112980390
15958cbd2a
hex5f73942a

1601410090 has 64 divisors (see below), whose sum is σ = 3416629248. Its totient is φ = 528840000.

The previous prime is 1601410087. The next prime is 1601410133. The reversal of 1601410090 is 900141061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490965 + ... + 494215.

It is an arithmetic number, because the mean of its divisors is an integer number (53384832).

Almost surely, 21601410090 is an apocalyptic number.

1601410090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1601410090 is an abundant number, since it is smaller than the sum of its proper divisors (1815219158).

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

1601410090 is a wasteful number, since it uses less digits than its factorization.

1601410090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1601410090 is about 40017.6222432068. The cubic root of 1601410090 is about 1169.9505884117.

The spelling of 1601410090 in words is "one billion, six hundred one million, four hundred ten thousand, ninety".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 227 310 434 454 1085 1135 1589 2170 2270 3178 3251 6502 7037 7945 14074 15890 16255 22757 32510 35185 45514 49259 70370 98518 100781 113785 201562 227570 246295 492590 503905 705467 737977 1007810 1410934 1475954 3527335 3689885 5165839 7054670 7379770 10331678 22877287 25829195 45754574 51658390 114386435 160141009 228772870 320282018 800705045 1601410090