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380466760 = 23561211739
BaseRepresentation
bin10110101011010…
…111011001001000
3222111220201021111
4112223113121020
51234344414020
6101430420104
712266625352
oct2653273110
9874821244
10380466760
11185844343
12a7501634
1360a9277b
143875c0d2
1523605d5a
hex16ad7648

380466760 has 64 divisors (see below), whose sum is σ = 875390400. Its totient is φ = 148780800.

The previous prime is 380466743. The next prime is 380466761. The reversal of 380466760 is 67664083.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (380466761) 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, 514471 + ... + 515209.

It is an arithmetic number, because the mean of its divisors is an integer number (13677975).

Almost surely, 2380466760 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 380466760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437695200).

380466760 is an abundant number, since it is smaller than the sum of its proper divisors (494923640).

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

380466760 is a wasteful number, since it uses less digits than its factorization.

380466760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 380466760 is about 19505.5571568720. The cubic root of 380466760 is about 724.6120857836.

The spelling of 380466760 in words is "three hundred eighty million, four hundred sixty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 211 244 305 422 488 610 739 844 1055 1220 1478 1688 2110 2440 2956 3695 4220 5912 7390 8440 12871 14780 25742 29560 45079 51484 64355 90158 102968 128710 155929 180316 225395 257420 311858 360632 450790 514840 623716 779645 901580 1247432 1559290 1803160 3118580 6237160 9511669 19023338 38046676 47558345 76093352 95116690 190233380 380466760