Search a number
-
+
2148597024 = 253713124407
BaseRepresentation
bin1000000000010000…
…1111110100100000
312112201222001000120
42000010033310200
513400020101044
6553111520240
7104146526160
oct20004176440
95481861016
102148597024
11a02910822
124bb689080
132831a47b2
141654da5a0
15c8966519
hex8010fd20

2148597024 has 96 divisors (see below), whose sum is σ = 6495261696. Its totient is φ = 609173760.

The previous prime is 2148597023. The next prime is 2148597091. The reversal of 2148597024 is 4207958412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2148597023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75829 + ... + 100235.

It is an arithmetic number, because the mean of its divisors is an integer number (67658976).

Almost surely, 22148597024 is an apocalyptic number.

2148597024 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 2148597024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247630848).

2148597024 is an abundant number, since it is smaller than the sum of its proper divisors (4346664672).

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

2148597024 is a wasteful number, since it uses less digits than its factorization.

2148597024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24558 (or 24550 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2148597024 is about 46352.9613293477. The cubic root of 2148597024 is about 1290.3820801997.

The spelling of 2148597024 in words is "two billion, one hundred forty-eight million, five hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 11004 12576 14672 22008 24407 29344 44016 48814 73221 88032 97628 146442 170849 195256 292884 341698 390512 512547 585768 683396 781024 1025094 1171536 1366792 2050188 2343072 2733584 3197317 4100376 5467168 6394634 8200752 9591951 12789268 16401504 19183902 22381219 25578536 38367804 44762438 51157072 67143657 76735608 89524876 102314144 134287314 153471216 179049752 268574628 306942432 358099504 537149256 716199008 1074298512 2148597024