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30724740 = 223251311303
BaseRepresentation
bin111010100110…
…1001010000100
32010210222102100
41311031022010
530331142430
63014312100
7522104334
oct165151204
963728370
1030724740
1116385a52
12a358630
136499b27
14411b0c4
152a6d960
hex1d4d284

30724740 has 72 divisors (see below), whose sum is σ = 93981888. Its totient is φ = 8124480.

The previous prime is 30724723. The next prime is 30724741. The reversal of 30724740 is 4742703.

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

It is not an unprimeable number, because it can be changed into a prime (30724741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22929 + ... + 24231.

It is an arithmetic number, because the mean of its divisors is an integer number (1305304).

Almost surely, 230724740 is an apocalyptic number.

30724740 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 30724740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46990944).

30724740 is an abundant number, since it is smaller than the sum of its proper divisors (63257148).

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

30724740 is a wasteful number, since it uses less digits than its factorization.

30724740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 30724740 is about 5542.9901677705. The cubic root of 30724740 is about 313.2055185143.

The spelling of 30724740 in words is "thirty million, seven hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1303 1310 1572 1965 2358 2606 2620 3909 3930 4716 5212 5895 6515 7818 7860 11727 11790 13030 15636 19545 23454 23580 26060 39090 46908 58635 78180 117270 170693 234540 341386 512079 682772 853465 1024158 1536237 1706930 2048316 2560395 3072474 3413860 5120790 6144948 7681185 10241580 15362370 30724740