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19434960 = 2432526993
BaseRepresentation
bin100101000100…
…0110111010000
31100120101202100
41022020313100
514433404320
61532320400
7324123456
oct112106720
940511670
1019434960
11aa74856
126613100
13404619c
14281c9d6
151a8d790
hex1288dd0

19434960 has 60 divisors (see below), whose sum is σ = 65271492. Its totient is φ = 5182464.

The previous prime is 19434949. The next prime is 19434971. The reversal of 19434960 is 6943491.

It is an interprime number because it is at equal distance from previous prime (19434949) and next prime (19434971).

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 16064064 = 1836^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12777 + ... + 14216.

Almost surely, 219434960 is an apocalyptic number.

19434960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19434960 is an abundant number, since it is smaller than the sum of its proper divisors (45836532).

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

19434960 is a wasteful number, since it uses less digits than its factorization.

19434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 27003 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 19434960 is about 4408.5099523535. The cubic root of 19434960 is about 268.8610458715.

It can be divided in two parts, 1943 and 4960, that added together give a triangular number (6903 = T117).

The spelling of 19434960 in words is "nineteen million, four hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 26993 53986 80979 107972 134965 161958 215944 242937 269930 323916 404895 431888 485874 539860 647832 809790 971748 1079720 1214685 1295664 1619580 1943496 2159440 2429370 3239160 3886992 4858740 6478320 9717480 19434960