Search a number
-
+
30712200 = 23352173011
BaseRepresentation
bin111010100101…
…0000110001000
32010210100012220
41311022012020
530330242300
63014134040
7522022641
oct165120610
963710186
1030712200
1116377592
12a351320
1364941cc
1441166c8
152a69da0
hex1d4a188

30712200 has 96 divisors (see below), whose sum is σ = 100841760. Its totient is φ = 7705600.

The previous prime is 30712193. The next prime is 30712211. The reversal of 30712200 is 221703.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30712200.

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, 8695 + ... + 11705.

It is an arithmetic number, because the mean of its divisors is an integer number (1050435).

Almost surely, 230712200 is an apocalyptic number.

30712200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30712200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50420880).

30712200 is an abundant number, since it is smaller than the sum of its proper divisors (70129560).

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

30712200 is a wasteful number, since it uses less digits than its factorization.

30712200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 30712200 is about 5541.8588939092. The cubic root of 30712200 is about 313.1629021334.

Adding to 30712200 its reverse (221703), we get a palindrome (30933903).

The spelling of 30712200 in words is "thirty million, seven hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3011 3400 5100 6022 9033 10200 12044 15055 18066 24088 30110 36132 45165 51187 60220 72264 75275 90330 102374 120440 150550 153561 180660 204748 225825 255935 301100 307122 361320 409496 451650 511870 602200 614244 767805 903300 1023740 1228488 1279675 1535610 1806600 2047480 2559350 3071220 3839025 5118700 6142440 7678050 10237400 15356100 30712200