Search a number
-
+
42696560 = 245717517
BaseRepresentation
bin1010001011011…
…1111101110000
32222100012200002
42202313331300
541412242220
64123045132
71025625524
oct242677560
988305602
1042696560
1122112615
12123707a8
138acc04a
145955d84
153b35c75
hex28b7f70

42696560 has 40 divisors (see below), whose sum is σ = 100681056. Its totient is φ = 16835840.

The previous prime is 42696559. The next prime is 42696581. The reversal of 42696560 is 6569624.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1922 + ... + 9438.

Almost surely, 242696560 is an apocalyptic number.

42696560 is a gapful number since it is divisible by the number (40) 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 42696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50340528).

42696560 is an abundant number, since it is smaller than the sum of its proper divisors (57984496).

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

42696560 is a wasteful number, since it uses less digits than its factorization.

42696560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 42696560 is about 6534.2604784321. The cubic root of 42696560 is about 349.5137738184.

The spelling of 42696560 in words is "forty-two million, six hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 7517 15034 30068 37585 60136 75170 120272 150340 300680 533707 601360 1067414 2134828 2668535 4269656 5337070 8539312 10674140 21348280 42696560