Search a number
-
+
467697240 = 2336543373
BaseRepresentation
bin11011111000000…
…111111001011000
31012121001111000000
4123320013321120
51424212302430
6114224213000
714406234543
oct3370077130
91177044000
10467697240
1122000394a
1211076a160
1375b84c3a
144618785a
152b0d6e60
hex1be07e58

467697240 has 224 divisors, whose sum is σ = 1618776720. Its totient is φ = 121492224.

The previous prime is 467697233. The next prime is 467697253. The reversal of 467697240 is 42796764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1253694 + ... + 1254066.

Almost surely, 2467697240 is an apocalyptic number.

467697240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467697240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809388360).

467697240 is an abundant number, since it is smaller than the sum of its proper divisors (1151079480).

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

467697240 is a wasteful number, since it uses less digits than its factorization.

467697240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 467697240 is about 21626.3089777243. The cubic root of 467697240 is about 776.2261492357.

The spelling of 467697240 in words is "four hundred sixty-seven million, six hundred ninety-seven thousand, two hundred forty".