Search a number
-
+
73875420 = 223251921601
BaseRepresentation
bin1000110011100…
…11111111011100
312011000021000200
410121303333130
5122403003140
611155223500
71554634143
oct431637734
9164007020
1073875420
1138778773
12208a7b90
13123c7788
149b5075a
156744030
hex4673fdc

73875420 has 72 divisors (see below), whose sum is σ = 235893840. Its totient is φ = 18662400.

The previous prime is 73875407. The next prime is 73875433. The reversal of 73875420 is 2457837.

It is an interprime number because it is at equal distance from previous prime (73875407) and next prime (73875433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7381 + ... + 14220.

Almost surely, 273875420 is an apocalyptic number.

It is an amenable number.

73875420 is an abundant number, since it is smaller than the sum of its proper divisors (162018420).

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

73875420 is a wasteful number, since it uses less digits than its factorization.

73875420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21635 (or 21630 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 73875420 is about 8595.0811514494. The cubic root of 73875420 is about 419.5979145075.

The spelling of 73875420 in words is "seventy-three million, eight hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 21601 43202 64803 86404 108005 129606 194409 216010 259212 324015 388818 410419 432020 648030 777636 820838 972045 1231257 1296060 1641676 1944090 2052095 2462514 3693771 3888180 4104190 4925028 6156285 7387542 8208380 12312570 14775084 18468855 24625140 36937710 73875420