Search a number
-
+
73936720 = 245111323281
BaseRepresentation
bin1000110100000…
…10111101010000
312011010101010001
410122002331100
5122411433340
611200415344
71555310644
oct432027520
9164111101
1073936720
113880a830
1220917554
1312419650
149b68c24
15675729a
hex4682f50

73936720 has 160 divisors (see below), whose sum is σ = 211486464. Its totient is φ = 23654400.

The previous prime is 73936699. The next prime is 73936729. The reversal of 73936720 is 2763937.

It is a self number, because there is not a number n which added to its sum of digits gives 73936720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73936729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262980 + ... + 263260.

Almost surely, 273936720 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 73936720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105743232).

73936720 is an abundant number, since it is smaller than the sum of its proper divisors (137549744).

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

73936720 is a wasteful number, since it uses less digits than its factorization.

73936720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 37.

The square root of 73936720 is about 8598.6464051035. The cubic root of 73936720 is about 419.7139397525.

The spelling of 73936720 in words is "seventy-three million, nine hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 92 104 110 115 130 143 176 184 208 220 230 253 260 281 286 299 368 440 460 506 520 562 572 598 715 880 920 1012 1040 1124 1144 1196 1265 1405 1430 1495 1840 2024 2248 2288 2392 2530 2810 2860 2990 3091 3289 3653 4048 4496 4784 5060 5620 5720 5980 6182 6463 6578 7306 10120 11240 11440 11960 12364 12926 13156 14612 15455 16445 18265 20240 22480 23920 24728 25852 26312 29224 30910 32315 32890 36530 40183 49456 51704 52624 58448 61820 64630 65780 71093 73060 80366 84019 103408 123640 129260 131560 142186 146120 160732 168038 200915 247280 258520 263120 284372 292240 321464 336076 355465 401830 420095 517040 568744 642928 672152 710930 803660 840190 924209 1137488 1344304 1421860 1607320 1680380 1848418 2843720 3214640 3360760 3696836 4621045 5687440 6721520 7393672 9242090 14787344 18484180 36968360 73936720