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38058680 = 23511671291
BaseRepresentation
bin1001000100101…
…1101010111000
32122121120200202
42101023222320
534220334210
63435421332
7641331152
oct221135270
978546622
1038058680
111a535060
12108b4848
137b6703a
1450a9ad2
15351b9a5
hex244bab8

38058680 has 64 divisors (see below), whose sum is σ = 94884480. Its totient is φ = 13622400.

The previous prime is 38058679. The next prime is 38058697. The reversal of 38058680 is 8685083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28835 + ... + 30125.

It is an arithmetic number, because the mean of its divisors is an integer number (1482570).

Almost surely, 238058680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38058680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47442240).

38058680 is an abundant number, since it is smaller than the sum of its proper divisors (56825800).

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

38058680 is a wasteful number, since it uses less digits than its factorization.

38058680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 38058680 is about 6169.1717434353. The cubic root of 38058680 is about 336.3705049398.

The spelling of 38058680 in words is "thirty-eight million, fifty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1291 1340 1474 2582 2680 2948 3685 5164 5896 6455 7370 10328 12910 14201 14740 25820 28402 29480 51640 56804 71005 86497 113608 142010 172994 284020 345988 432485 568040 691976 864970 951467 1729940 1902934 3459880 3805868 4757335 7611736 9514670 19029340 38058680