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30649680 = 2432542569
BaseRepresentation
bin111010011101…
…0110101010000
32010200011110100
41310322311100
530321242210
63012532400
7521342445
oct164726520
963604410
1030649680
1116334616
12a321100
136471909
1440db9cc
152a565c0
hex1d3ad50

30649680 has 60 divisors (see below), whose sum is σ = 102934260. Its totient is φ = 8173056.

The previous prime is 30649667. The next prime is 30649711. The reversal of 30649680 is 8694603.

30649680 is a `hidden beast` number, since 3 + 0 + 649 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 18455616 = 3492^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 20565 + ... + 22004.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 230649680 is an apocalyptic number.

30649680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30649680 is an abundant number, since it is smaller than the sum of its proper divisors (72284580).

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

30649680 is a wasteful number, since it uses less digits than its factorization.

30649680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42588 (or 42579 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30649680 is about 5536.2153137319. The cubic root of 30649680 is about 312.9502586766.

It can be divided in two parts, 30649 and 680, that added together give a square (31329 = 1772).

The spelling of 30649680 in words is "thirty million, six hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42569 85138 127707 170276 212845 255414 340552 383121 425690 510828 638535 681104 766242 851380 1021656 1277070 1532484 1702760 1915605 2043312 2554140 3064968 3405520 3831210 5108280 6129936 7662420 10216560 15324840 30649680