Search a number
-
+
30956240 = 2457253149
BaseRepresentation
bin111011000010…
…1101011010000
32011020201222102
41312011223100
530411044430
63023255532
7524060300
oct166055320
964221872
1030956240
1116523977
12a44a5a8
13654b303
14417b600
152ab7345
hex1d85ad0

30956240 has 120 divisors (see below), whose sum is σ = 85876200. Its totient is φ = 10343424.

The previous prime is 30956239. The next prime is 30956279. The reversal of 30956240 is 4265903.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 29506624 = 1204^2 + 5432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207686 + ... + 207834.

It is an arithmetic number, because the mean of its divisors is an integer number (715635).

Almost surely, 230956240 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 30956240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42938100).

30956240 is an abundant number, since it is smaller than the sum of its proper divisors (54919960).

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

30956240 is a wasteful number, since it uses less digits than its factorization.

30956240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 30956240 is about 5563.8332110156. The cubic root of 30956240 is about 313.9901818505.

The spelling of 30956240 in words is "thirty million, nine hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 70 80 98 106 112 140 149 196 212 245 265 280 298 371 392 424 490 530 560 596 742 745 784 848 980 1043 1060 1192 1484 1490 1855 1960 2086 2120 2384 2597 2968 2980 3710 3920 4172 4240 5194 5215 5936 5960 7301 7420 7897 8344 10388 10430 11920 12985 14602 14840 15794 16688 20776 20860 25970 29204 29680 31588 36505 39485 41552 41720 51940 55279 58408 63176 73010 78970 83440 103880 110558 116816 126352 146020 157940 207760 221116 276395 292040 315880 386953 442232 552790 584080 631760 773906 884464 1105580 1547812 1934765 2211160 3095624 3869530 4422320 6191248 7739060 15478120 30956240