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73240080 = 24351729619
BaseRepresentation
bin1000101110110…
…00111000010000
312002210222111120
410113120320100
5122222140310
611133442240
71546346634
oct427307020
9162728446
1073240080
11383843a1
1220640380
1312234534
149a26dc4
15666ab70
hex45d8e10

73240080 has 160 divisors (see below), whose sum is σ = 249091200. Its totient is φ = 17719296.

The previous prime is 73240067. The next prime is 73240081. The reversal of 73240080 is 8004237.

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 73240080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73240081) 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, 118011 + ... + 118629.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 273240080 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 73240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124545600).

73240080 is an abundant number, since it is smaller than the sum of its proper divisors (175851120).

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

73240080 is a wasteful number, since it uses less digits than its factorization.

73240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73240080 is about 8558.0418321015. The cubic root of 73240080 is about 418.3915807355.

The spelling of 73240080 in words is "seventy-three million, two hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 34 40 48 51 58 60 68 80 85 87 102 116 120 136 145 170 174 204 232 240 255 272 290 340 348 408 435 464 493 510 580 619 680 696 816 870 986 1020 1160 1238 1360 1392 1479 1740 1857 1972 2040 2320 2465 2476 2958 3095 3480 3714 3944 4080 4930 4952 5916 6190 6960 7395 7428 7888 9285 9860 9904 10523 11832 12380 14790 14856 17951 18570 19720 21046 23664 24760 29580 29712 31569 35902 37140 39440 42092 49520 52615 53853 59160 63138 71804 74280 84184 89755 105230 107706 118320 126276 143608 148560 157845 168368 179510 210460 215412 252552 269265 287216 305167 315690 359020 420920 430824 505104 538530 610334 631380 718040 841840 861648 915501 1077060 1220668 1262760 1436080 1525835 1831002 2154120 2441336 2525520 3051670 3662004 4308240 4577505 4882672 6103340 7324008 9155010 12206680 14648016 18310020 24413360 36620040 73240080