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74053440 = 263452857
BaseRepresentation
bin1000110100111…
…11011101000000
312011100022020000
410122133131000
5122424202230
611203120000
71556305146
oct432373500
9164308200
1074053440
113888a49a
1220973000
131245a806
149b99596
15677bb60
hex469f740

74053440 has 140 divisors (see below), whose sum is σ = 263513316. Its totient is φ = 19740672.

The previous prime is 74053423. The next prime is 74053453. The reversal of 74053440 is 4435047.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 35712576 = 6192^2 + 5976^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 24492 + ... + 27348.

Almost surely, 274053440 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 74053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131756658).

74053440 is an abundant number, since it is smaller than the sum of its proper divisors (189459876).

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

74053440 is a wasteful number, since it uses less digits than its factorization.

74053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 74053440 is about 8605.4308433686. The cubic root of 74053440 is about 419.9346837204.

Adding to 74053440 its reverse (4435047), we get a palindrome (78488487).

The spelling of 74053440 in words is "seventy-four million, fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2857 2880 3240 4320 5184 5714 6480 8571 8640 11428 12960 14285 17142 22856 25713 25920 28570 34284 42855 45712 51426 57140 68568 77139 85710 91424 102852 114280 128565 137136 154278 171420 182848 205704 228560 231417 257130 274272 308556 342840 385695 411408 457120 462834 514260 548544 617112 685680 771390 822816 914240 925668 1028520 1157085 1234224 1371360 1542780 1645632 1851336 2057040 2314170 2468448 2742720 3085560 3702672 4114080 4628340 4936896 6171120 7405344 8228160 9256680 12342240 14810688 18513360 24684480 37026720 74053440