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5742460 = 2254147149
BaseRepresentation
bin10101111001111101111100
3101210202011201
4111321331330
52432224320
6323025244
766544603
oct25717574
911722151
105742460
113272439
121b0b224
131260a09
14a96a3a
1578670a
hex579f7c

5742460 has 48 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 2178560.

The previous prime is 5742439. The next prime is 5742461. The reversal of 5742460 is 642475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38466 + ... + 38614.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 25742460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

5742460 is an abundant number, since it is smaller than the sum of its proper divisors (6958340).

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

5742460 is a wasteful number, since it uses less digits than its factorization.

5742460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 5742460 is about 2396.3430472284. The cubic root of 5742460 is about 179.0740515265.

It can be divided in two parts, 574 and 2460, that multiplied together give a triangular number (1412040 = T1680).

The spelling of 5742460 in words is "five million, seven hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 47 82 94 149 164 188 205 235 298 410 470 596 745 820 940 1490 1927 2980 3854 6109 7003 7708 9635 12218 14006 19270 24436 28012 30545 35015 38540 61090 70030 122180 140060 287123 574246 1148492 1435615 2871230 5742460