Search a number
-
+
30745120 = 255797283
BaseRepresentation
bin111010101001…
…0001000100000
32010212000101011
41311102020200
530332320440
63014550304
7522220630
oct165221040
963760334
1030745120
111639a29a
12a368394
1364a61a3
1441246c0
152a749ea
hex1d52220

30745120 has 96 divisors (see below), whose sum is σ = 84163968. Its totient is φ = 10395648.

The previous prime is 30745103. The next prime is 30745147. The reversal of 30745120 is 2154703.

It is a junction number, because it is equal to n+sod(n) for n = 30745091 and 30745100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108499 + ... + 108781.

It is an arithmetic number, because the mean of its divisors is an integer number (876708).

Almost surely, 230745120 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 30745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42081984).

30745120 is an abundant number, since it is smaller than the sum of its proper divisors (53418848).

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

30745120 is a wasteful number, since it uses less digits than its factorization.

30745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 30745120 is about 5544.8282209641. The cubic root of 30745120 is about 313.2747538998.

Adding to 30745120 its reverse (2154703), we get a palindrome (32899823).

The spelling of 30745120 in words is "thirty million, seven hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 283 388 485 560 566 679 776 970 1120 1132 1358 1415 1552 1940 1981 2264 2716 2830 3104 3395 3880 3962 4528 5432 5660 6790 7760 7924 9056 9905 10864 11320 13580 15520 15848 19810 21728 22640 27160 27451 31696 39620 45280 54320 54902 63392 79240 108640 109804 137255 158480 192157 219608 274510 316960 384314 439216 549020 768628 878432 960785 1098040 1537256 1921570 2196080 3074512 3843140 4392160 6149024 7686280 15372560 30745120