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74940640 = 2552931521
BaseRepresentation
bin1000111011110…
…00000011100000
312020000101020021
410131320003200
5123141100030
611234123224
71566661555
oct435700340
9166011207
1074940640
1139336015
1221120514
13126ab598
149d4aa2c
1568a497a
hex47780e0

74940640 has 96 divisors (see below), whose sum is σ = 189423360. Its totient is φ = 27955200.

The previous prime is 74940631. The next prime is 74940643. The reversal of 74940640 is 4604947.

It is a junction number, because it is equal to n+sod(n) for n = 74940596 and 74940605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74940643) by changing a digit.

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, 143580 + ... + 144100.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 274940640 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 74940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680).

74940640 is an abundant number, since it is smaller than the sum of its proper divisors (114482720).

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

74940640 is a wasteful number, since it uses less digits than its factorization.

74940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 74940640 is about 8656.8262082590. The cubic root of 74940640 is about 421.6050451456.

The spelling of 74940640 in words is "seventy-four million, nine hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 80 116 124 145 155 160 232 248 290 310 464 496 521 580 620 899 928 992 1042 1160 1240 1798 2084 2320 2480 2605 3596 4168 4495 4640 4960 5210 7192 8336 8990 10420 14384 15109 16151 16672 17980 20840 28768 30218 32302 35960 41680 60436 64604 71920 75545 80755 83360 120872 129208 143840 151090 161510 241744 258416 302180 323020 468379 483488 516832 604360 646040 936758 1208720 1292080 1873516 2341895 2417440 2584160 3747032 4683790 7494064 9367580 14988128 18735160 37470320 74940640