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73120240 = 2451516053
BaseRepresentation
bin1000101101110…
…11100111110000
312002120220010001
410112323213300
5122204321430
611131115344
71545340354
oct426734760
9162526101
1073120240
1138302356
12205a2b54
13121c1b1b
1499d5464
1566453ca
hex45bb9f0

73120240 has 40 divisors (see below), whose sum is σ = 171158688. Its totient is φ = 29049600.

The previous prime is 73120237. The next prime is 73120241. The reversal of 73120240 is 4202137.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73120241) 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, 9054 + ... + 15106.

Almost surely, 273120240 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 73120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85579344).

73120240 is an abundant number, since it is smaller than the sum of its proper divisors (98038448).

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

73120240 is a wasteful number, since it uses less digits than its factorization.

73120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 73120240 is about 8551.0373639694. The cubic root of 73120240 is about 418.1632566660.

Adding to 73120240 its reverse (4202137), we get a palindrome (77322377).

The spelling of 73120240 in words is "seventy-three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 6053 12080 12106 24212 30265 48424 60530 96848 121060 242120 484240 914003 1828006 3656012 4570015 7312024 9140030 14624048 18280060 36560120 73120240