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74289960 = 233557643
BaseRepresentation
bin1000110110110…
…01001100101000
312011210022200000
410123121030220
5123004234320
611212143000
71561311543
oct433311450
9164708600
1074289960
1138a31168
1220a67a60
1312511374
149c1b85a
1567c6c90
hex46d9328

74289960 has 96 divisors (see below), whose sum is σ = 250417440. Its totient is φ = 19808064.

The previous prime is 74289959. The next prime is 74289961. The reversal of 74289960 is 6998247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74289959) and next prime (74289961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74289961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5899 + ... + 13541.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 274289960 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 74289960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125208720).

74289960 is an abundant number, since it is smaller than the sum of its proper divisors (176127480).

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

74289960 is a wasteful number, since it uses less digits than its factorization.

74289960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 74289960 is about 8619.1623722958. The cubic root of 74289960 is about 420.3812864071.

The spelling of 74289960 in words is "seventy-four million, two hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 7643 9720 15286 22929 30572 38215 45858 61144 68787 76430 91716 114645 137574 152860 183432 206361 229290 275148 305720 343935 412722 458580 550296 619083 687870 825444 917160 1031805 1238166 1375740 1650888 1857249 2063610 2476332 2751480 3095415 3714498 4127220 4952664 6190830 7428996 8254440 9286245 12381660 14857992 18572490 24763320 37144980 74289960