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385716980 = 2251110117359
BaseRepresentation
bin10110111111011…
…001001011110100
3222212210110020002
4112333121023310
51242220420410
6102135130432
712362353205
oct2677311364
9885713202
10385716980
111887aa970
12a9213a18
1361bb03cc
14393275ac
1523ce17a5
hex16fd92f4

385716980 has 48 divisors (see below), whose sum is σ = 892442880. Its totient is φ = 138864000.

The previous prime is 385716979. The next prime is 385716997. The reversal of 385716980 is 89617583.

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, 13541 + ... + 30899.

It is an arithmetic number, because the mean of its divisors is an integer number (18592560).

Almost surely, 2385716980 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 385716980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446221440).

385716980 is an abundant number, since it is smaller than the sum of its proper divisors (506725900).

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

385716980 is a wasteful number, since it uses less digits than its factorization.

385716980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 385716980 is about 19639.6787142764. The cubic root of 385716980 is about 727.9299458614.

The spelling of 385716980 in words is "three hundred eighty-five million, seven hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 17359 22220 34718 69436 86795 173590 190949 347180 381898 763796 954745 1753259 1909490 3506518 3818980 7013036 8766295 17532590 19285849 35065180 38571698 77143396 96429245 192858490 385716980