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507913340 = 225119723801
BaseRepresentation
bin11110010001100…
…010010001111100
31022101201200010012
4132101202101330
52020011211330
6122222202352
715405122624
oct3621422174
91271650105
10507913340
112407818a0
121221233b8
13812c5c4c
144b655884
152e8ccc95
hex1e46247c

507913340 has 48 divisors (see below), whose sum is σ = 1175628384. Its totient is φ = 182784000.

The previous prime is 507913333. The next prime is 507913409. The reversal of 507913340 is 43319705.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 507913297 and 507913306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9440 + ... + 33240.

It is an arithmetic number, because the mean of its divisors is an integer number (24492258).

Almost surely, 2507913340 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 507913340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587814192).

507913340 is an abundant number, since it is smaller than the sum of its proper divisors (667715044).

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

507913340 is a wasteful number, since it uses less digits than its factorization.

507913340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23918 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 507913340 is about 22536.9327992964. The cubic root of 507913340 is about 797.8658430302.

The spelling of 507913340 in words is "five hundred seven million, nine hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 21340 23801 47602 95204 119005 238010 261811 476020 523622 1047244 1309055 2308697 2618110 4617394 5236220 9234788 11543485 23086970 25395667 46173940 50791334 101582668 126978335 253956670 507913340