Search a number
-
+
30455600 = 2452773149
BaseRepresentation
bin111010000101…
…1011100110000
32010022022020012
41310023130300
530244034400
63004434052
7516603560
oct164133460
963268205
1030455600
111621181a
12a248928
136404486
14408ada0
152a18d35
hex1d0b730

30455600 has 120 divisors (see below), whose sum is σ = 85336800. Its totient is φ = 10229760.

The previous prime is 30455573. The next prime is 30455627. The reversal of 30455600 is 655403.

It is an interprime number because it is at equal distance from previous prime (30455573) and next prime (30455627).

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, 204326 + ... + 204474.

It is an arithmetic number, because the mean of its divisors is an integer number (711140).

Almost surely, 230455600 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 30455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42668400).

30455600 is an abundant number, since it is smaller than the sum of its proper divisors (54881200).

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

30455600 is a wasteful number, since it uses less digits than its factorization.

30455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 30455600 is about 5518.6592574646. The cubic root of 30455600 is about 312.2883046246.

The spelling of 30455600 in words is "thirty million, four hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 73 80 100 112 140 146 149 175 200 280 292 298 350 365 400 511 560 584 596 700 730 745 1022 1043 1168 1192 1400 1460 1490 1825 2044 2086 2384 2555 2800 2920 2980 3650 3725 4088 4172 5110 5215 5840 5960 7300 7450 8176 8344 10220 10430 10877 11920 12775 14600 14900 16688 20440 20860 21754 25550 26075 29200 29800 40880 41720 43508 51100 52150 54385 59600 76139 83440 87016 102200 104300 108770 152278 174032 204400 208600 217540 271925 304556 380695 417200 435080 543850 609112 761390 870160 1087700 1218224 1522780 1903475 2175400 3045560 3806950 4350800 6091120 7613900 15227800 30455600