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380697975 = 34527107251
BaseRepresentation
bin10110101100001…
…111110101110111
3222112100110110000
4112230033311313
51234424313400
6101435402343
712301610430
oct2654176567
9875313400
10380697975
11185992029
12a75b33b3
1360b43a98
14387bc487
152364e600
hex16b0fd77

380697975 has 120 divisors (see below), whose sum is σ = 816697728. Its totient is φ = 171720000.

The previous prime is 380697973. The next prime is 380698007. The reversal of 380697975 is 579796083.

It is not a de Polignac number, because 380697975 - 21 = 380697973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380697971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1516600 + ... + 1516850.

Almost surely, 2380697975 is an apocalyptic number.

380697975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

380697975 is an abundant number, since it is smaller than the sum of its proper divisors (435999753).

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

380697975 is a wasteful number, since it uses less digits than its factorization.

380697975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 380697975 is about 19511.4831573615. The cubic root of 380697975 is about 724.7588417103.

The spelling of 380697975 in words is "three hundred eighty million, six hundred ninety-seven thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 107 135 175 189 225 251 315 321 405 525 535 567 675 749 753 945 963 1255 1575 1605 1757 2025 2247 2259 2675 2835 2889 3745 3765 4725 4815 5271 6275 6741 6777 8025 8667 8785 11235 11295 14175 14445 15813 18725 18825 20223 20331 24075 26355 26857 33705 33885 43335 43925 47439 56175 56475 60669 72225 79065 80571 101115 101655 131775 134285 142317 168525 169425 187999 216675 237195 241713 303345 395325 402855 505575 508275 563997 671425 711585 725139 939995 1185975 1208565 1516725 1691991 2014275 2175417 2819985 3557925 3625695 4699975 5075973 6042825 8459955 10877085 14099925 15227919 18128475 25379865 42299775 54385425 76139595 126899325 380697975