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1054438074 = 23453127967
BaseRepresentation
bin111110110110010…
…111001010111010
32201111010000010000
4332312113022322
54124414004244
6252344133430
735062401324
oct7666271272
92644100100
101054438074
114a1225a28
12255167276
1313a5ba671
14a007c614
1562886169
hex3ed972ba

1054438074 has 80 divisors (see below), whose sum is σ = 2428766208. Its totient is φ = 341778528.

The previous prime is 1054438069. The next prime is 1054438093. The reversal of 1054438074 is 4708344501.

1054438074 is a `hidden beast` number, since 10 + 544 + 38 + 0 + 74 = 666.

It is a super-2 number, since 2×10544380742 = 2223679303801658952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1089939 + ... + 1090905.

Almost surely, 21054438074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054438074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214383104).

1054438074 is an abundant number, since it is smaller than the sum of its proper divisors (1374328134).

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

1054438074 is a wasteful number, since it uses less digits than its factorization.

1054438074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1054438074 is about 32472.1122503603. The cubic root of 1054438074 is about 1017.8263573689.

The spelling of 1054438074 in words is "one billion, fifty-four million, four hundred thirty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 127 159 162 254 318 381 477 762 954 967 1143 1431 1934 2286 2862 2901 3429 4293 5802 6731 6858 8586 8703 10287 13462 17406 20193 20574 26109 40386 51251 52218 60579 78327 102502 121158 122809 153753 156654 181737 245618 307506 363474 368427 461259 545211 736854 922518 1090422 1105281 1383777 2210562 2767554 3315843 4151331 6508877 6631686 8302662 9947529 13017754 19526631 19895058 39053262 58579893 117159786 175739679 351479358 527219037 1054438074