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380577560 = 235113797241
BaseRepresentation
bin10110101011110…
…010011100011000
3222112010100021012
4112223302130120
51234411440220
6101433033052
712300566366
oct2653623430
9875110235
10380577560
1118590a610
12a7555788
1360b0102c
143878a636
1523628ac5
hex16af2718

380577560 has 128 divisors (see below), whose sum is σ = 973304640. Its totient is φ = 132710400.

The previous prime is 380577557. The next prime is 380577583. The reversal of 380577560 is 65775083.

380577560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579040 + ... + 1579280.

Almost surely, 2380577560 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 380577560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486652320).

380577560 is an abundant number, since it is smaller than the sum of its proper divisors (592727080).

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

380577560 is a wasteful number, since it uses less digits than its factorization.

380577560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 380577560 is about 19508.3971663486. The cubic root of 380577560 is about 724.6824197654.

The spelling of 380577560 in words is "three hundred eighty million, five hundred seventy-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 97 110 148 185 194 220 241 296 370 388 407 440 482 485 740 776 814 964 970 1067 1205 1480 1628 1928 1940 2035 2134 2410 2651 3256 3589 3880 4070 4268 4820 5302 5335 7178 8140 8536 8917 9640 10604 10670 13255 14356 16280 17834 17945 21208 21340 23377 26510 28712 35668 35890 39479 42680 44585 46754 53020 71336 71780 78958 89170 93508 98087 106040 116885 143560 157916 178340 187016 196174 197395 233770 257147 315832 356680 392348 394790 467540 490435 514294 784696 789580 864949 935080 980870 1028588 1285735 1579160 1729898 1961740 2057176 2571470 3459796 3923480 4324745 5142940 6919592 8649490 9514439 10285880 17298980 19028878 34597960 38057756 47572195 76115512 95144390 190288780 380577560