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73052640 = 2532597523
BaseRepresentation
bin1000101101010…
…11000111100000
312002110110101100
410112223013200
5122200141030
611125434400
71544636313
oct426530740
9162413340
1073052640
1138266591
122056ba00
131219a11b
1499b897a
156630360
hex45ab1e0

73052640 has 144 divisors (see below), whose sum is σ = 252343728. Its totient is φ = 19243008.

The previous prime is 73052627. The next prime is 73052659. The reversal of 73052640 is 4625037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139419 + ... + 139941.

It is an arithmetic number, because the mean of its divisors is an integer number (1752387).

Almost surely, 273052640 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 73052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126171864).

73052640 is an abundant number, since it is smaller than the sum of its proper divisors (179291088).

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

73052640 is a wasteful number, since it uses less digits than its factorization.

73052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 73052640 is about 8547.0837131738. The cubic root of 73052640 is about 418.0343523121.

Adding to 73052640 its reverse (4625037), we get a palindrome (77677677).

The spelling of 73052640 in words is "seventy-three million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 523 582 720 776 873 970 1046 1164 1440 1455 1552 1569 1746 1940 2092 2328 2615 2910 3104 3138 3492 3880 4184 4365 4656 4707 5230 5820 6276 6984 7760 7845 8368 8730 9312 9414 10460 11640 12552 13968 15520 15690 16736 17460 18828 20920 23280 23535 25104 27936 31380 34920 37656 41840 46560 47070 50208 50731 62760 69840 75312 83680 94140 101462 125520 139680 150624 152193 188280 202924 251040 253655 304386 376560 405848 456579 507310 608772 753120 760965 811696 913158 1014620 1217544 1521930 1623392 1826316 2029240 2282895 2435088 3043860 3652632 4058480 4565790 4870176 6087720 7305264 8116960 9131580 12175440 14610528 18263160 24350880 36526320 73052640