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540278004 = 223723299643
BaseRepresentation
bin100000001100111…
…111110011110100
31101122121222002110
4200030333303310
52101302344004
6125340011020
716250200350
oct4014776364
91348558073
10540278004
11257a77952
12130b30a70
1387c18336
1451a7c460
1532672589
hex2033fcf4

540278004 has 96 divisors (see below), whose sum is σ = 1555384320. Its totient is φ = 142547328.

The previous prime is 540277967. The next prime is 540278021. The reversal of 540278004 is 400872045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51207 + ... + 60849.

It is an arithmetic number, because the mean of its divisors is an integer number (16201920).

Almost surely, 2540278004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540278004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777692160).

540278004 is an abundant number, since it is smaller than the sum of its proper divisors (1015106316).

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

540278004 is a wasteful number, since it uses less digits than its factorization.

540278004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9709 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 540278004 is about 23243.8810012442. The cubic root of 540278004 is about 814.4650052551.

The spelling of 540278004 in words is "five hundred forty million, two hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 174 203 276 322 348 406 483 609 644 667 812 966 1218 1334 1932 2001 2436 2668 4002 4669 8004 9338 9643 14007 18676 19286 28014 28929 38572 56028 57858 67501 115716 135002 202503 221789 270004 279647 405006 443578 559294 665367 810012 838941 887156 1118588 1330734 1552523 1677882 1957529 2661468 3105046 3355764 3915058 4657569 5872587 6210092 6431881 7830116 9315138 11745174 12863762 18630276 19295643 23490348 25727524 38591286 45023167 77182572 90046334 135069501 180092668 270139002 540278004