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1385025075 = 34527199491
BaseRepresentation
bin101001010001101…
…1100111000110011
310120112011120020000
41102203130320303
510314031300300
6345233521043
746215342660
oct12243347063
93515146200
101385025075
116508a0925
12327a13183
13190c37685
14d1d34a67
15818d7c00
hex528dce33

1385025075 has 120 divisors (see below), whose sum is σ = 2952787200. Its totient is φ = 628689600.

The previous prime is 1385025049. The next prime is 1385025079. The reversal of 1385025075 is 5705205831.

1385025075 is a `hidden beast` number, since 1 + 38 + 502 + 50 + 75 = 666.

It is not a de Polignac number, because 1385025075 - 28 = 1385024819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1385025079) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2820580 + ... + 2821070.

It is an arithmetic number, because the mean of its divisors is an integer number (24606560).

Almost surely, 21385025075 is an apocalyptic number.

1385025075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1385025075 is an abundant number, since it is smaller than the sum of its proper divisors (1567762125).

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

1385025075 is a wasteful number, since it uses less digits than its factorization.

1385025075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1385025075 is about 37215.9250187336. The cubic root of 1385025075 is about 1114.6859968283.

The spelling of 1385025075 in words is "one billion, three hundred eighty-five million, twenty-five thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 199 225 315 405 491 525 567 597 675 945 995 1393 1473 1575 1791 2025 2455 2835 2985 3437 4179 4419 4725 4975 5373 6965 7365 8955 10311 12275 12537 13257 14175 14925 16119 17185 20895 22095 26865 30933 34825 36825 37611 39771 44775 51555 62685 66285 80595 85925 92799 97709 104475 110475 112833 134325 154665 188055 198855 257775 278397 293127 313425 331425 402975 463995 488545 564165 683963 773325 879381 940275 994275 1391985 1465635 2051889 2319975 2442725 2638143 2820825 3419815 4396905 6155667 6959925 7328175 7914429 10259445 13190715 17099075 18467001 21984525 30778335 39572145 51297225 55401003 65953575 92335005 153891675 197860725 277005015 461675025 1385025075