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42060400 = 2452711481
BaseRepresentation
bin1010000001110…
…0101001110000
32221010220000121
42200130221300
541231413100
64101300024
71020336034
oct240345160
987126017
1042060400
1121818668
1212104614
138938615
14582c1c4
153a5c51a
hex281ca70

42060400 has 60 divisors (see below), whose sum is σ = 102542544. Its totient is φ = 16576000.

The previous prime is 42060391. The next prime is 42060401. The reversal of 42060400 is 406024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42060401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27660 + ... + 29140.

Almost surely, 242060400 is an apocalyptic number.

42060400 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 42060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271272).

42060400 is an abundant number, since it is smaller than the sum of its proper divisors (60482144).

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

42060400 is a wasteful number, since it uses less digits than its factorization.

42060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42060400 is about 6485.3989854133. The cubic root of 42060400 is about 347.7692132553.

Adding to 42060400 its reverse (406024), we get a palindrome (42466424).

The spelling of 42060400 in words is "forty-two million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1481 1775 2840 2962 3550 5680 5924 7100 7405 11848 14200 14810 23696 28400 29620 37025 59240 74050 105151 118480 148100 210302 296200 420604 525755 592400 841208 1051510 1682416 2103020 2628775 4206040 5257550 8412080 10515100 21030200 42060400