Search a number
-
+
30215970 = 23351729227
BaseRepresentation
bin111001101000…
…0111100100010
32002212010112000
41303100330202
530213402340
62555344430
7514555131
oct163207442
962763460
1030215970
1116068784
12a152116
13634c395
144027918
1529bcd30
hex1cd0f22

30215970 has 128 divisors (see below), whose sum is σ = 88646400. Its totient is φ = 7289856.

The previous prime is 30215957. The next prime is 30215981. The reversal of 30215970 is 7951203.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132997 + ... + 133223.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 230215970 is an apocalyptic number.

30215970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30215970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323200).

30215970 is an abundant number, since it is smaller than the sum of its proper divisors (58430430).

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

30215970 is a wasteful number, since it uses less digits than its factorization.

30215970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 30215970 is about 5496.9054930934. The cubic root of 30215970 is about 311.4671006755.

It can be divided in two parts, 30 and 215970, that added together give a cube (216000 = 603).

The spelling of 30215970 in words is "thirty million, two hundred fifteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 227 255 261 270 290 306 435 454 459 493 510 522 681 765 783 870 918 986 1135 1305 1362 1479 1530 1566 2043 2270 2295 2465 2610 2958 3405 3859 3915 4086 4437 4590 4930 6129 6583 6810 7395 7718 7830 8874 10215 11577 12258 13166 13311 14790 19295 19749 20430 22185 23154 26622 30645 32915 34731 38590 39498 44370 57885 59247 61290 65830 66555 69462 98745 104193 111911 115770 118494 133110 173655 177741 197490 208386 223822 296235 335733 347310 355482 520965 559555 592470 671466 888705 1007199 1041930 1119110 1678665 1777410 2014398 3021597 3357330 5035995 6043194 10071990 15107985 30215970