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380026560 = 2635503787
BaseRepresentation
bin10110101001101…
…011111011000000
3222111002100102210
4112221223323000
51234241322220
6101413142120
712263113104
oct2651537300
9874070383
10380026560
11185573641
12a732a940
136096a2b4
1438685904
152356a6e0
hex16a6bec0

380026560 has 112 divisors (see below), whose sum is σ = 1210519296. Its totient is φ = 101010432.

The previous prime is 380026553. The next prime is 380026573. The reversal of 380026560 is 65620083.

380026560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 482487 + ... + 483273.

It is an arithmetic number, because the mean of its divisors is an integer number (10808208).

Almost surely, 2380026560 is an apocalyptic number.

380026560 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 380026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605259648).

380026560 is an abundant number, since it is smaller than the sum of its proper divisors (830492736).

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

380026560 is a wasteful number, since it uses less digits than its factorization.

380026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 380026560 is about 19494.2699273402. The cubic root of 380026560 is about 724.3325192348.

The spelling of 380026560 in words is "three hundred eighty million, twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 503 787 960 1006 1509 1574 2012 2361 2515 3018 3148 3935 4024 4722 5030 6036 6296 7545 7870 8048 9444 10060 11805 12072 12592 15090 15740 16096 18888 20120 23610 24144 25184 30180 31480 32192 37776 40240 47220 48288 50368 60360 62960 75552 80480 94440 96576 120720 125920 151104 160960 188880 241440 251840 377760 395861 482880 755520 791722 1187583 1583444 1979305 2375166 3166888 3958610 4750332 5937915 6333776 7917220 9500664 11875830 12667552 15834440 19001328 23751660 25335104 31668880 38002656 47503320 63337760 76005312 95006640 126675520 190013280 380026560