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30760680 = 2335318269
BaseRepresentation
bin111010101010…
…1111011101000
32010212210201110
41311111323220
530333320210
63015150320
7522314166
oct165257350
963783643
1030760680
11163aaa55
12a3753a0
1364b02b2
14412a236
152a79420
hex1d55ee8

30760680 has 64 divisors (see below), whose sum is σ = 95270400. Its totient is φ = 7937280.

The previous prime is 30760673. The next prime is 30760687. The reversal of 30760680 is 8606703.

It is an interprime number because it is at equal distance from previous prime (30760673) and next prime (30760687).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30760687) 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, 415 + ... + 7854.

It is an arithmetic number, because the mean of its divisors is an integer number (1488600).

Almost surely, 230760680 is an apocalyptic number.

30760680 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 30760680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47635200).

30760680 is an abundant number, since it is smaller than the sum of its proper divisors (64509720).

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

30760680 is a wasteful number, since it uses less digits than its factorization.

30760680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 30760680 is about 5546.2311527739. The cubic root of 30760680 is about 313.3275940803.

The spelling of 30760680 in words is "thirty million, seven hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 8269 16538 24807 33076 41345 49614 66152 82690 99228 124035 165380 198456 248070 256339 330760 496140 512678 769017 992280 1025356 1281695 1538034 2050712 2563390 3076068 3845085 5126780 6152136 7690170 10253560 15380340 30760680