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1468396420 = 225174318813
BaseRepresentation
bin101011110000101…
…1111001110000100
310210100001021012121
41113201133032010
511001402141140
6401412455324
751250110061
oct12741371604
93710037177
101468396420
11693964a67
1234b91a544
131a52a842a
14dd037c68
1588da564a
hex5785f384

1468396420 has 24 divisors (see below), whose sum is σ = 3265023384. Its totient is φ = 552807936.

The previous prime is 1468396381. The next prime is 1468396439. The reversal of 1468396420 is 246938641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 827597824 + 640798596 = 28768^2 + 25314^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2159067 + ... + 2159746.

It is an arithmetic number, because the mean of its divisors is an integer number (136042641).

Almost surely, 21468396420 is an apocalyptic number.

1468396420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468396420 is an abundant number, since it is smaller than the sum of its proper divisors (1796626964).

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

1468396420 is a wasteful number, since it uses less digits than its factorization.

1468396420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318839 (or 4318837 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 1468396420 is about 38319.6610110267. The cubic root of 1468396420 is about 1136.6177632900.

The spelling of 1468396420 in words is "one billion, four hundred sixty-eight million, three hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4318813 8637626 17275252 21594065 43188130 73419821 86376260 146839642 293679284 367099105 734198210 1468396420