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2054594240 = 26543114897
BaseRepresentation
bin111101001110110…
…1001111011000000
312022012002012102222
41322131221323000
513201434003430
6535513030212
7101625522446
oct17235517300
95265065388
102054594240
11964846076
124940b5368
1326988094a
14156c2ab96
15c05989e5
hex7a769ec0

2054594240 has 56 divisors (see below), whose sum is σ = 4904183232. Its totient is φ = 819875840.

The previous prime is 2054594207. The next prime is 2054594257. The reversal of 2054594240 is 424954502.

It is a self number, because there is not a number n which added to its sum of digits gives 2054594240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130472 + ... + 145368.

Almost surely, 22054594240 is an apocalyptic number.

2054594240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452091616).

2054594240 is an abundant number, since it is smaller than the sum of its proper divisors (2849588992).

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

2054594240 is a wasteful number, since it uses less digits than its factorization.

2054594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15345 (or 15335 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 2054594240 is about 45327.6321905303. The cubic root of 2054594240 is about 1271.2823635507.

The spelling of 2054594240 in words is "two billion, fifty-four million, five hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 431 862 1724 2155 3448 4310 6896 8620 13792 14897 17240 27584 29794 34480 59588 68960 74485 119176 137920 148970 238352 297940 476704 595880 953408 1191760 2383520 4767040 6420607 12841214 25682428 32103035 51364856 64206070 102729712 128412140 205459424 256824280 410918848 513648560 1027297120 2054594240