Search a number
-
+
42907320 = 23345171941
BaseRepresentation
bin1010001110101…
…1011010111000
32222201220210000
42203223122320
541441013240
64131353000
71030464141
oct243533270
988656700
1042907320
11222469a5
1212452760
138b73c61
1459acac8
153b78430
hex28eb6b8

42907320 has 320 divisors, whose sum is σ = 164656800. Its totient is φ = 9953280.

The previous prime is 42907307. The next prime is 42907357. The reversal of 42907320 is 2370924.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046500 + ... + 1046540.

Almost surely, 242907320 is an apocalyptic number.

42907320 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 42907320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328400).

42907320 is an abundant number, since it is smaller than the sum of its proper divisors (121749480).

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

42907320 is a wasteful number, since it uses less digits than its factorization.

42907320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42907320 is about 6550.3679285976. The cubic root of 42907320 is about 350.0879234891.

The spelling of 42907320 in words is "forty-two million, nine hundred seven thousand, three hundred twenty".