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74017125 = 3353713241
BaseRepresentation
bin1000110100101…
…10100101100101
312011021110102000
410122112211211
5122422022000
611202235513
71556064240
oct432264545
9164243360
1074017125
1138865186
1220955b99
1312447120
149b8a257
156771000
hex4696965

74017125 has 128 divisors (see below), whose sum is σ = 169128960. Its totient is φ = 31104000.

The previous prime is 74017123. The next prime is 74017157. The reversal of 74017125 is 52171047.

It is not a de Polignac number, because 74017125 - 21 = 74017123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74017121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 307005 + ... + 307245.

It is an arithmetic number, because the mean of its divisors is an integer number (1321320).

Almost surely, 274017125 is an apocalyptic number.

74017125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74017125 is an abundant number, since it is smaller than the sum of its proper divisors (95111835).

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

74017125 is a wasteful number, since it uses less digits than its factorization.

74017125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 74017125 is about 8603.3205798691. The cubic root of 74017125 is about 419.8660286990.

The spelling of 74017125 in words is "seventy-four million, seventeen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 125 135 175 189 195 225 241 273 315 325 351 375 455 525 585 675 723 819 875 945 975 1125 1205 1365 1575 1625 1687 1755 2169 2275 2457 2625 2925 3133 3375 3615 4095 4725 4875 5061 6025 6507 6825 7875 8435 8775 9399 10845 11375 12285 14625 15183 15665 18075 20475 21931 23625 25305 28197 30125 32535 34125 42175 43875 45549 46995 54225 61425 65793 75915 78325 84591 90375 102375 109655 126525 140985 162675 197379 210875 227745 234975 271125 307125 328965 379575 391625 422955 548275 592137 632625 704925 813375 986895 1138725 1174875 1644825 1897875 2114775 2741375 2960685 3524625 4934475 5693625 8224125 10573875 14803425 24672375 74017125