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42194640 = 2435175811
BaseRepresentation
bin1010000011110…
…1011011010000
32221101201011110
42200331123100
541300212030
64104213320
71021435305
oct240753320
987351143
1042194640
11218aa504
121216a240
138984757
1458650ac
153a871b0
hex283d6d0

42194640 has 40 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 11251840.

The previous prime is 42194599. The next prime is 42194641. The reversal of 42194640 is 4649124.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42194598 and 42194607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42194641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87666 + ... + 88145.

Almost surely, 242194640 is an apocalyptic number.

42194640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42194640 is an abundant number, since it is smaller than the sum of its proper divisors (88609488).

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

42194640 is a wasteful number, since it uses less digits than its factorization.

42194640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175827 (or 175821 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42194640 is about 6495.7401425858. The cubic root of 42194640 is about 348.1388004912.

The spelling of 42194640 in words is "forty-two million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175811 351622 527433 703244 879055 1054866 1406488 1758110 2109732 2637165 2812976 3516220 4219464 5274330 7032440 8438928 10548660 14064880 21097320 42194640