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74207040 = 2635174547
BaseRepresentation
bin1000110110001…
…00111101000000
312011122002220220
410123010331000
5122444111130
611210303040
71560515025
oct433047500
9164562826
1074207040
1138984936
1220a27a80
13124b26bb
149bd954c
1567ac410
hex46c4f40

74207040 has 112 divisors (see below), whose sum is σ = 249521472. Its totient is φ = 18620416.

The previous prime is 74207011. The next prime is 74207051. The reversal of 74207040 is 4070247.

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 74207040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14047 + ... + 18593.

Almost surely, 274207040 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 74207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124760736).

74207040 is an abundant number, since it is smaller than the sum of its proper divisors (175314432).

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

74207040 is a wasteful number, since it uses less digits than its factorization.

74207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 74207040 is about 8614.3508170959. The cubic root of 74207040 is about 420.2248229431.

Adding to 74207040 its reverse (4070247), we get a palindrome (78277287).

The spelling of 74207040 in words is "seventy-four million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 4547 5440 8160 9094 13641 16320 18188 22735 27282 36376 45470 54564 68205 72752 77299 90940 109128 136410 145504 154598 181880 218256 231897 272820 291008 309196 363760 386495 436512 463794 545640 618392 727520 772990 873024 927588 1091280 1159485 1236784 1455040 1545980 1855176 2182560 2318970 2473568 3091960 3710352 4365120 4637940 4947136 6183920 7420704 9275880 12367840 14841408 18551760 24735680 37103520 74207040