Search a number
-
+
4056030 = 23251117241
BaseRepresentation
bin1111011110001111011110
321122001211100
433132033132
52014243110
6222533530
746322106
oct17361736
97561740
104056030
1123203a0
1214372a6
13ac0224
14778206
15551bc0
hex3de3de

4056030 has 96 divisors (see below), whose sum is σ = 12231648. Its totient is φ = 921600.

The previous prime is 4056023. The next prime is 4056067. The reversal of 4056030 is 306504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4055994 and 4056012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16710 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (127413).

Almost surely, 24056030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115824).

4056030 is an abundant number, since it is smaller than the sum of its proper divisors (8175618).

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

4056030 is a wasteful number, since it uses less digits than its factorization.

4056030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4056030 is about 2013.9587880590. The cubic root of 4056030 is about 159.4778551751.

The spelling of 4056030 in words is "four million, fifty-six thousand, thirty", and thus it is an eban number.

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 241 255 306 330 374 482 495 510 561 723 765 935 990 1122 1205 1446 1530 1683 1870 2169 2410 2651 2805 3366 3615 4097 4338 5302 5610 7230 7953 8194 8415 10845 12291 13255 15906 16830 20485 21690 23859 24582 26510 36873 39765 40970 45067 47718 61455 73746 79530 90134 119295 122910 135201 184365 225335 238590 270402 368730 405603 450670 676005 811206 1352010 2028015 4056030