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380656080 = 24325775527
BaseRepresentation
bin10110101100000…
…101100111010000
3222112021022222100
4112230011213100
51234421443310
6101434440400
712301344330
oct2654054720
9875238870
10380656080
11185963602
12a7593100
1360b2a9ac
14387ab0c0
1523641ec0
hex16b059d0

380656080 has 120 divisors (see below), whose sum is σ = 1461013632. Its totient is φ = 87005952.

The previous prime is 380656079. The next prime is 380656147. The reversal of 380656080 is 80656083.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32724 + ... + 42803.

Almost surely, 2380656080 is an apocalyptic number.

380656080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380656080 is an abundant number, since it is smaller than the sum of its proper divisors (1080357552).

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

380656080 is a wasteful number, since it uses less digits than its factorization.

380656080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75553 (or 75544 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 380656080 is about 19510.4095292744. The cubic root of 380656080 is about 724.7322546801.

The spelling of 380656080 in words is "three hundred eighty million, six hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 75527 151054 226581 302108 377635 453162 528689 604216 679743 755270 906324 1057378 1132905 1208432 1359486 1510540 1586067 1812648 2114756 2265810 2643445 2718972 3021080 3172134 3398715 3625296 4229512 4531620 4758201 5286890 5437944 6042160 6344268 6797430 7930335 8459024 9063240 9516402 10573780 10875888 12688536 13594860 15860670 18126480 19032804 21147560 23791005 25377072 27189720 31721340 38065608 42295120 47582010 54379440 63442680 76131216 95164020 126885360 190328040 380656080