Search a number
-
+
30646680 = 2335416229
BaseRepresentation
bin111010011101…
…0000110011000
32010200000100020
41310322012120
530321143210
63012510440
7521330631
oct164720630
963600306
1030646680
1116332339
12a31b420
13647043c
1440da888
152a55770
hex1d3a198

30646680 has 64 divisors (see below), whose sum is σ = 94197600. Its totient is φ = 7971840.

The previous prime is 30646673. The next prime is 30646687. The reversal of 30646680 is 8664603.

It is an interprime number because it is at equal distance from previous prime (30646673) and next prime (30646687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30646687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806 + ... + 8034.

Almost surely, 230646680 is an apocalyptic number.

30646680 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 30646680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47098800).

30646680 is an abundant number, since it is smaller than the sum of its proper divisors (63550920).

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

30646680 is a wasteful number, since it uses less digits than its factorization.

30646680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 30646680 is about 5535.9443638823. The cubic root of 30646680 is about 312.9400477879.

The spelling of 30646680 in words is "thirty million, six hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 6229 12458 18687 24916 31145 37374 49832 62290 74748 93435 124580 149496 186870 249160 255389 373740 510778 747480 766167 1021556 1276945 1532334 2043112 2553890 3064668 3830835 5107780 6129336 7661670 10215560 15323340 30646680