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2053420524 = 2233373891321
BaseRepresentation
bin111101001100100…
…1011010111101100
312022002212120102000
41322121023113230
513201133424044
6535431532300
7101612533521
oct17231132754
95262776360
102053420524
11964114261
1249382a090
1326955c63c
14156a03148
15c0415d69
hex7a64b5ec

2053420524 has 96 divisors (see below), whose sum is σ = 5485771200. Its totient is φ = 663759360.

The previous prime is 2053420511. The next prime is 2053420529. The reversal of 2053420524 is 4250243502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2053420529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553784 + ... + 1555104.

It is an arithmetic number, because the mean of its divisors is an integer number (57143450).

Almost surely, 22053420524 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 2053420524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742885600).

2053420524 is an abundant number, since it is smaller than the sum of its proper divisors (3432350676).

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

2053420524 is a wasteful number, since it uses less digits than its factorization.

2053420524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2053420524 is about 45314.6833156759. The cubic root of 2053420524 is about 1271.0402380993.

The spelling of 2053420524 in words is "two billion, fifty-three million, four hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 389 444 666 778 999 1167 1321 1332 1556 1998 2334 2642 3501 3963 3996 4668 5284 7002 7926 10503 11889 14004 14393 15852 21006 23778 28786 35667 42012 43179 47556 48877 57572 71334 86358 97754 129537 142668 146631 172716 195508 259074 293262 388611 439893 513869 518148 586524 777222 879786 1027738 1319679 1541607 1554444 1759572 2055476 2639358 3083214 4624821 5278716 6166428 9249642 13874463 18499284 19013153 27748926 38026306 55497852 57039459 76052612 114078918 171118377 228157836 342236754 513355131 684473508 1026710262 2053420524