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2053540520 = 235198813067
BaseRepresentation
bin111101001100110…
…1000101010101000
312022010002200000022
41322121220222220
513201201244040
6535434300012
7101613543413
oct17231505250
95263080008
102053540520
11964196429
12493887608
132695a2145
14156a34b7a
15c043b6b5
hex7a668aa8

2053540520 has 64 divisors (see below), whose sum is σ = 4870756800. Its totient is φ = 777047040.

The previous prime is 2053540513. The next prime is 2053540543. The reversal of 2053540520 is 250453502.

It is a self number, because there is not a number n which added to its sum of digits gives 2053540520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668027 + ... + 671093.

It is an arithmetic number, because the mean of its divisors is an integer number (76105575).

Almost surely, 22053540520 is an apocalyptic number.

2053540520 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 2053540520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435378400).

2053540520 is an abundant number, since it is smaller than the sum of its proper divisors (2817216280).

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

2053540520 is a wasteful number, since it uses less digits than its factorization.

2053540520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 2053540520 is about 45316.0073263301. The cubic root of 2053540520 is about 1271.0649962645.

The spelling of 2053540520 in words is "two billion, fifty-three million, five hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 881 1762 3067 3524 4405 6134 7048 8810 12268 15335 16739 17620 24536 30670 33478 35240 58273 61340 66956 83695 116546 122680 133912 167390 233092 291365 334780 466184 582730 669560 1165460 2330920 2702027 5404054 10808108 13510135 21616216 27020270 51338513 54040540 102677026 108081080 205354052 256692565 410708104 513385130 1026770260 2053540520