Search a number
-
+
30500280 = 2333531911
BaseRepresentation
bin111010001011…
…0010110111000
32010101120112000
41310112112320
530302002110
63005421000
7520151046
oct164262670
963346460
1030500280
1116242348
12a26a760
13641b905
14409d396
152a271c0
hex1d165b8

30500280 has 128 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 7862400.

The previous prime is 30500279. The next prime is 30500293. The reversal of 30500280 is 8200503.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33025 + ... + 33935.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 230500280 is an apocalyptic number.

30500280 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 30500280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

30500280 is an abundant number, since it is smaller than the sum of its proper divisors (74562120).

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

30500280 is a wasteful number, since it uses less digits than its factorization.

30500280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30500280 is about 5522.7058585443. The cubic root of 30500280 is about 312.4409445739.

Adding to 30500280 its reverse (8200503), we get a palindrome (38700783).

The spelling of 30500280 in words is "thirty million, five hundred thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 911 930 1080 1116 1240 1395 1674 1822 1860 2232 2733 2790 3348 3644 3720 4185 4555 5466 5580 6696 7288 8199 8370 9110 10932 11160 13665 16398 16740 18220 21864 24597 27330 28241 32796 33480 36440 40995 49194 54660 56482 65592 81990 84723 98388 109320 112964 122985 141205 163980 169446 196776 225928 245970 254169 282410 327960 338892 423615 491940 508338 564820 677784 762507 847230 983880 1016676 1129640 1270845 1525014 1694460 2033352 2541690 3050028 3388920 3812535 5083380 6100056 7625070 10166760 15250140 30500280