[go: up one dir, main page]

Search a number
-
+
72074970 = 232511471549
BaseRepresentation
bin1000100101111…
…00011011011010
312000121210021100
410102330123122
5121422344340
611052452230
71533425052
oct422743332
9160553240
1072074970
1137758aa0
122017a076
1311c17116
149802562
1564da830
hex44bc6da

72074970 has 96 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 17089920.

The previous prime is 72074963. The next prime is 72074983. The reversal of 72074970 is 7947027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45756 + ... + 47304.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 272074970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72074970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

72074970 is an abundant number, since it is smaller than the sum of its proper divisors (136840230).

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

72074970 is a wasteful number, since it uses less digits than its factorization.

72074970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 72074970 is about 8489.6978744829. The cubic root of 72074970 is about 416.1611070085.

The spelling of 72074970 in words is "seventy-two million, seventy-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 470 495 517 705 846 990 1034 1410 1549 1551 2115 2585 3098 3102 4230 4647 4653 5170 7745 7755 9294 9306 13941 15490 15510 17039 23235 23265 27882 34078 46470 46530 51117 69705 72803 85195 102234 139410 145606 153351 170390 218409 255585 306702 364015 436818 511170 655227 728030 766755 800833 1092045 1310454 1533510 1601666 2184090 2402499 3276135 4004165 4804998 6552270 7207497 8008330 12012495 14414994 24024990 36037485 72074970