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2053151304 = 233237152387
BaseRepresentation
bin111101001100000…
…1001101001001000
312022002100220002220
41322120021221020
513201101320204
6535422054040
7101610332601
oct17230115110
95262326086
102053151304
11963a4aa66
1249371a320
13269496c39
14156972da8
15c03b11d9
hex7a609a48

2053151304 has 64 divisors (see below), whose sum is σ = 5431587840. Its totient is φ = 645395520.

The previous prime is 2053151293. The next prime is 2053151323. The reversal of 2053151304 is 4031513502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12999 + ... + 65385.

It is an arithmetic number, because the mean of its divisors is an integer number (84868560).

Almost surely, 22053151304 is an apocalyptic number.

2053151304 is a gapful number since it is divisible by the number (24) 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 2053151304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715793920).

2053151304 is an abundant number, since it is smaller than the sum of its proper divisors (3378436536).

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

2053151304 is a wasteful number, since it uses less digits than its factorization.

2053151304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52490 (or 52486 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2053151304 is about 45311.7126579872. The cubic root of 2053151304 is about 1270.9846877944.

Adding to 2053151304 its reverse (4031513502), we get a palindrome (6084664806).

The spelling of 2053151304 in words is "two billion, fifty-three million, one hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1633 1704 3266 4899 6532 9798 13064 19596 39192 52387 104774 157161 209548 314322 419096 628644 1204901 1257288 2409802 3614703 3719477 4819604 7229406 7438954 9639208 11158431 14458812 14877908 22316862 28917624 29755816 44633724 85547971 89267448 171095942 256643913 342191884 513287826 684383768 1026575652 2053151304