[go: up one dir, main page]

Search a number
-
+
30085614 = 23313172521
BaseRepresentation
bin111001011000…
…1000111101110
32002121111201000
41302301013232
530200214424
62552501130
7513503106
oct162610756
962544630
1030085614
1115a89849
12a0aa7a6
136304c50
143dd2206
1529943c9
hex1cb11ee

30085614 has 64 divisors (see below), whose sum is σ = 76265280. Its totient is φ = 8709120.

The previous prime is 30085603. The next prime is 30085637. The reversal of 30085614 is 41658003.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 10674 + ... + 13194.

It is an arithmetic number, because the mean of its divisors is an integer number (1191645).

Almost surely, 230085614 is an apocalyptic number.

30085614 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30085614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132640).

30085614 is an abundant number, since it is smaller than the sum of its proper divisors (46179666).

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

30085614 is a wasteful number, since it uses less digits than its factorization.

30085614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30085614 is about 5485.0354602318. The cubic root of 30085614 is about 311.0185505351.

The spelling of 30085614 in words is "thirty million, eighty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 2521 3978 5042 5967 7563 11934 15126 22689 32773 42857 45378 65546 68067 85714 98319 128571 136134 196638 257142 294957 385713 557141 589914 771426 884871 1114282 1157139 1671423 1769742 2314278 3342846 5014269 10028538 15042807 30085614