Search a number
-
+
74121360 = 24351737491
BaseRepresentation
bin1000110101100…
…00000010010000
312011110202101120
410122300002100
5122433340420
611204402240
71560010155
oct432600220
9164422346
1074121360
1138926525
12209a6380
13124826c1
149bb622c
156791d40
hex46b0090

74121360 has 160 divisors (see below), whose sum is σ = 250376832. Its totient is φ = 18063360.

The previous prime is 74121349. The next prime is 74121371. The reversal of 74121360 is 6312147.

It is an interprime number because it is at equal distance from previous prime (74121349) and next prime (74121371).

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 74121360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150715 + ... + 151205.

Almost surely, 274121360 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 74121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125188416).

74121360 is an abundant number, since it is smaller than the sum of its proper divisors (176255472).

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

74121360 is a wasteful number, since it uses less digits than its factorization.

74121360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 74121360 is about 8609.3762840289. The cubic root of 74121360 is about 420.0630290896.

The spelling of 74121360 in words is "seventy-four million, one hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 491 510 555 592 629 680 740 816 888 982 1020 1110 1258 1360 1473 1480 1776 1887 1964 2040 2220 2455 2516 2946 2960 3145 3774 3928 4080 4440 4910 5032 5892 6290 7365 7548 7856 8347 8880 9435 9820 10064 11784 12580 14730 15096 16694 18167 18870 19640 23568 25041 25160 29460 30192 33388 36334 37740 39280 41735 50082 50320 54501 58920 66776 72668 75480 83470 90835 100164 109002 117840 125205 133552 145336 150960 166940 181670 200328 218004 250410 272505 290672 308839 333880 363340 400656 436008 500820 545010 617678 667760 726680 872016 926517 1001640 1090020 1235356 1453360 1544195 1853034 2003280 2180040 2470712 3088390 3706068 4360080 4632585 4941424 6176780 7412136 9265170 12353560 14824272 18530340 24707120 37060680 74121360