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1054366401 = 3111771103257
BaseRepresentation
bin111110110110000…
…101101011000001
32201110222100210110
4332312011223001
54124404211101
6252342421533
735061652344
oct7666055301
92643870713
101054366401
114a11870a0
122551318a9
1313a593b5a
14a006045b
156286ecd6
hex3ed85ac1

1054366401 has 64 divisors (see below), whose sum is σ = 1669165056. Its totient is φ = 584908800.

The previous prime is 1054366399. The next prime is 1054366447. The reversal of 1054366401 is 1046634501.

It is not a de Polignac number, because 1054366401 - 21 = 1054366399 is a prime.

It is a super-2 number, since 2×10543664012 = 2223377015115385602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054366301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4102465 + ... + 4102721.

It is an arithmetic number, because the mean of its divisors is an integer number (26080704).

Almost surely, 21054366401 is an apocalyptic number.

1054366401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1054366401 is a deficient number, since it is larger than the sum of its proper divisors (614798655).

1054366401 is a wasteful number, since it uses less digits than its factorization.

1054366401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1054366401 is about 32471.0086230779. The cubic root of 1054366401 is about 1017.8032953787.

The spelling of 1054366401 in words is "one billion, fifty-four million, three hundred sixty-six thousand, four hundred one".

Divisors: 1 3 11 17 33 51 71 103 187 213 257 309 561 771 781 1133 1207 1751 2343 2827 3399 3621 4369 5253 7313 8481 13107 13277 18247 19261 21939 26471 39831 48059 54741 57783 79413 80443 124321 144177 200717 241329 291181 310199 372963 450007 602151 873543 930597 1350021 1367531 1879441 3412189 4102593 4950077 5638323 10236567 14850231 20673851 31950497 62021553 95851491 351455467 1054366401