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30295040 = 21056197
BaseRepresentation
bin111001110010…
…0010000000000
32010000010222112
41303210100000
530223420130
63001154452
7515334506
oct163442000
963003875
1030295040
1116112126
12a18ba28
136379379
144048676
1529d6495
hex1ce4400

30295040 has 88 divisors (see below), whose sum is σ = 74625432. Its totient is φ = 11796480.

The previous prime is 30295033. The next prime is 30295043. The reversal of 30295040 is 4059203.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 30294016 = 32^2 + 5504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30294997 and 30295015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30295043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312272 + ... + 312368.

Almost surely, 230295040 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 30295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312716).

30295040 is an abundant number, since it is smaller than the sum of its proper divisors (44330392).

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

30295040 is an equidigital number, since it uses as much as digits as its factorization.

30295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 30295040 is about 5504.0930224697. The cubic root of 30295040 is about 311.7385493241.

The spelling of 30295040 in words is "thirty million, two hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 97 122 128 160 194 244 256 305 320 388 485 488 512 610 640 776 970 976 1024 1220 1280 1552 1940 1952 2440 2560 3104 3880 3904 4880 5120 5917 6208 7760 7808 9760 11834 12416 15520 15616 19520 23668 24832 29585 31040 31232 39040 47336 49664 59170 62080 62464 78080 94672 99328 118340 124160 156160 189344 236680 248320 312320 378688 473360 496640 757376 946720 1514752 1893440 3029504 3786880 6059008 7573760 15147520 30295040