Search a number
-
+
74055280 = 24513312297
BaseRepresentation
bin1000110100111…
…11111001110000
312011100101202011
410122133321300
5122424232110
611203132304
71556313415
oct432377160
9164311664
1074055280
1138890912
1220974094
131245b5c0
149b9a10c
15677c48a
hex469fe70

74055280 has 80 divisors (see below), whose sum is σ = 191487744. Its totient is φ = 26449920.

The previous prime is 74055271. The next prime is 74055283. The reversal of 74055280 is 8255047.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74055283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31092 + ... + 33388.

Almost surely, 274055280 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 74055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95743872).

74055280 is an abundant number, since it is smaller than the sum of its proper divisors (117432464).

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

74055280 is a wasteful number, since it uses less digits than its factorization.

74055280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 74055280 is about 8605.5377519362. The cubic root of 74055280 is about 419.9381617196.

The spelling of 74055280 in words is "seventy-four million, fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2297 2480 3224 4030 4594 6448 8060 9188 11485 16120 18376 22970 29861 32240 36752 45940 59722 71207 91880 119444 142414 149305 183760 238888 284828 298610 356035 477776 569656 597220 712070 925691 1139312 1194440 1424140 1851382 2388880 2848280 3702764 4628455 5696560 7405528 9256910 14811056 18513820 37027640 74055280