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1909261420 = 2251123721323
BaseRepresentation
bin111000111001101…
…0000010001101100
311221001121112021221
41301303100101230
512402232331140
6513242033124
765212311553
oct16163202154
94831545257
101909261420
1189a801400
124534a87a4
132457271b1
141417d8d9a
15b293c14a
hex71cd046c

1909261420 has 72 divisors (see below), whose sum is σ = 4526402832. Its totient is φ = 675480960.

The previous prime is 1909261373. The next prime is 1909261421. The reversal of 1909261420 is 241629091.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1909261421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78879 + ... + 100201.

It is an arithmetic number, because the mean of its divisors is an integer number (62866706).

Almost surely, 21909261420 is an apocalyptic number.

1909261420 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 1909261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263201416).

1909261420 is an abundant number, since it is smaller than the sum of its proper divisors (2617141412).

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

1909261420 is a wasteful number, since it uses less digits than its factorization.

1909261420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21391 (or 21378 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1909261420 is about 43695.0960635172. The cubic root of 1909261420 is about 1240.5714977509.

The spelling of 1909261420 in words is "one billion, nine hundred nine million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 17908 21323 22385 42646 44770 85292 89540 106615 213230 234553 426460 469106 788951 938212 1172765 1577902 2345530 2580083 3155804 3944755 4691060 5160166 7889510 8678461 10320332 12900415 15779020 17356922 25800830 34713844 43392305 51601660 86784610 95463071 173569220 190926142 381852284 477315355 954630710 1909261420