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73940 = 2253697
BaseRepresentation
bin10010000011010100
310202102112
4102003110
54331230
61330152
7425366
oct220324
9122375
1073940
1150609
1236958
1327869
141cd36
1516d95
hex120d4

73940 has 12 divisors (see below), whose sum is σ = 155316. Its totient is φ = 29568.

The previous prime is 73939. The next prime is 73943. The reversal of 73940 is 4937.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 58564 = 124^2 + 242^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1829 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (12943).

273940 is an apocalyptic number.

It is an amenable number.

73940 is an abundant number, since it is smaller than the sum of its proper divisors (81376).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77658).

73940 is a wasteful number, since it uses less digits than its factorization.

73940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 73940 is about 271.9191056178. The cubic root of 73940 is about 41.9720146147.

The spelling of 73940 in words is "seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 3697 7394 14788 18485 36970 73940