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73898240 = 285134441
BaseRepresentation
bin1000110011110…
…01100100000000
312011001102022212
410121321210000
5122404220430
611155521252
71555060523
oct431714400
9164042285
1073898240
1138793929
12208b9228
1312404c90
149b58bba
15674ab95
hex4679900

73898240 has 72 divisors (see below), whose sum is σ = 190668408. Its totient is φ = 27279360.

The previous prime is 73898221. The next prime is 73898243. The reversal of 73898240 is 4289837.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 73547776 = 592^2 + 8576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73898243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14420 + ... + 18860.

Almost surely, 273898240 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 73898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95334204).

73898240 is an abundant number, since it is smaller than the sum of its proper divisors (116770168).

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

73898240 is a wasteful number, since it uses less digits than its factorization.

73898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 73898240 is about 8596.4085524130. The cubic root of 73898240 is about 419.6411144363.

The spelling of 73898240 in words is "seventy-three million, eight hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 4441 8320 8882 16640 17764 22205 35528 44410 57733 71056 88820 115466 142112 177640 230932 284224 288665 355280 461864 568448 577330 710560 923728 1136896 1154660 1421120 1847456 2309320 2842240 3694912 4618640 5684480 7389824 9237280 14779648 18474560 36949120 73898240