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1054434320 = 24513180429
BaseRepresentation
bin111110110110010…
…110010000010000
32201111002210221222
4332312112100100
54124413344240
6252344104212
735062354352
oct7666262020
92644083858
101054434320
114a1223125
12255165068
1313a5b8a44
14a007b0d2
1562884eb5
hex3ed96410

1054434320 has 20 divisors (see below), whose sum is σ = 2451559980. Its totient is φ = 421773696.

The previous prime is 1054434319. The next prime is 1054434457. The reversal of 1054434320 is 234344501.

It can be written as a sum of positive squares in 2 ways, for example, as 169728784 + 884705536 = 13028^2 + 29744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10544343202 = 2223663470387724800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054434320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6590135 + ... + 6590294.

It is an arithmetic number, because the mean of its divisors is an integer number (122577999).

Almost surely, 21054434320 is an apocalyptic number.

1054434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054434320 is an abundant number, since it is smaller than the sum of its proper divisors (1397125660).

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

1054434320 is a wasteful number, since it uses less digits than its factorization.

1054434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13180442 (or 13180436 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 1054434320 is about 32472.0544468625. The cubic root of 1054434320 is about 1017.8251494823.

Adding to 1054434320 its reverse (234344501), we get a palindrome (1288778821).

The spelling of 1054434320 in words is "one billion, fifty-four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13180429 26360858 52721716 65902145 105443432 131804290 210886864 263608580 527217160 1054434320