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2030043136 = 224112
BaseRepresentation
bin111100100000000…
…0000000000000000
312020110212212122211
41321000000000000
513124142340021
6533234511504
7101210040052
oct17100000000
95213785584
102030043136
119519a7500
12487a35594
13264765b74
141538798d2
15bd3493e1
hex79000000

2030043136 has 75 divisors (see below), whose sum is σ = 4462739323. Its totient is φ = 922746880.

The previous prime is 2030043131. The next prime is 2030043139. The reversal of 2030043136 is 6313400302.

The square root of 2030043136 is 45056.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2030043131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 184549371 + ... + 184549381.

Almost surely, 22030043136 is an apocalyptic number.

2030043136 is the 45056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030043136

2030043136 is an abundant number, since it is smaller than the sum of its proper divisors (2432696187).

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

2030043136 is an frugal number, since it uses more digits than its factorization.

2030043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The cubic root of 2030043136 is about 1266.1983854717.

Multiplying 2030043136 by its product of nonzero digits (1296), we get a square (2630935904256 = 16220162).

Adding to 2030043136 its reverse (6313400302), we get a palindrome (8343443438).

It can be divided in two parts, 20300 and 43136, that added together give a palindrome (63436).

The spelling of 2030043136 in words is "two billion, thirty million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 8192 11264 15488 16384 22528 30976 32768 45056 61952 65536 90112 123904 131072 180224 247808 262144 360448 495616 524288 720896 991232 1048576 1441792 1982464 2097152 2883584 3964928 4194304 5767168 7929856 8388608 11534336 15859712 16777216 23068672 31719424 46137344 63438848 92274688 126877696 184549376 253755392 507510784 1015021568 2030043136