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74021640 = 23357118011
BaseRepresentation
bin1000110100101…
…11101100001000
312011021200121020
410122113230020
5122422143030
611202312440
71556113350
oct432275410
9164250536
1074021640
1138868610
1220958720
13124491b4
149b8bb60
156772510
hex4697b08

74021640 has 128 divisors (see below), whose sum is σ = 276894720. Its totient is φ = 15379200.

The previous prime is 74021617. The next prime is 74021653. The reversal of 74021640 is 4612047.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 74021640.

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, 5235 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (2163240).

Almost surely, 274021640 is an apocalyptic number.

74021640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74021640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138447360).

74021640 is an abundant number, since it is smaller than the sum of its proper divisors (202873080).

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

74021640 is a wasteful number, since it uses less digits than its factorization.

74021640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8039 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74021640 is about 8603.5829745519. The cubic root of 74021640 is about 419.8745657170.

Adding to 74021640 its reverse (4612047), we get a palindrome (78633687).

The spelling of 74021640 in words is "seventy-four million, twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 8011 9240 16022 24033 32044 40055 48066 56077 64088 80110 88121 96132 112154 120165 160220 168231 176242 192264 224308 240330 264363 280385 320440 336462 352484 440605 448616 480660 528726 560770 616847 672924 704968 841155 881210 961320 1057452 1121540 1233694 1321815 1345848 1682310 1762420 1850541 2114904 2243080 2467388 2643630 3084235 3364620 3524840 3701082 4934776 5287260 6168470 6729240 7402164 9252705 10574520 12336940 14804328 18505410 24673880 37010820 74021640