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4057040 = 245134783
BaseRepresentation
bin1111011110011111010000
321122010012202
433132133100
52014311130
6222542332
746325051
oct17363720
97563182
104057040
112321129
1214379a8
13ac0820
14778728
15552145
hex3de7d0

4057040 has 80 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1448448.

The previous prime is 4057021. The next prime is 4057043. The reversal of 4057040 is 407504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057043) 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, 48839 + ... + 48921.

Almost surely, 24057040 is an apocalyptic number.

4057040 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 4057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

4057040 is an abundant number, since it is smaller than the sum of its proper divisors (6442288).

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

4057040 is a wasteful number, since it uses less digits than its factorization.

4057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4057040 is about 2014.2095223685. The cubic root of 4057040 is about 159.4910913746.

The spelling of 4057040 in words is "four million, fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 83 94 104 130 166 188 208 235 260 332 376 415 470 520 611 664 752 830 940 1040 1079 1222 1328 1660 1880 2158 2444 3055 3320 3760 3901 4316 4888 5395 6110 6640 7802 8632 9776 10790 12220 15604 17264 19505 21580 24440 31208 39010 43160 48880 50713 62416 78020 86320 101426 156040 202852 253565 312080 405704 507130 811408 1014260 2028520 4057040