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148103296 = 2711293359
BaseRepresentation
bin10001101001111…
…10000010000000
3101022200102112021
420310332002000
5300403301141
622410211224
73445600015
oct1064760200
9338612467
10148103296
1176667220
1241723b14
13248b67b3
141595370c
15d0076d1
hex8d3e080

148103296 has 64 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 66903040.

The previous prime is 148103257. The next prime is 148103297. The reversal of 148103296 is 692301841.

148103296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (148103297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412365 + ... + 412723.

It is an arithmetic number, because the mean of its divisors is an integer number (5060475).

Almost surely, 2148103296 is an apocalyptic number.

148103296 is a gapful number since it is divisible by the number (16) 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 148103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

148103296 is an abundant number, since it is smaller than the sum of its proper divisors (175767104).

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

148103296 is a wasteful number, since it uses less digits than its factorization.

148103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 148103296 is about 12169.7697595312. The cubic root of 148103296 is about 529.0802798393.

The spelling of 148103296 in words is "one hundred forty-eight million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 293 352 359 586 704 718 1172 1408 1436 2344 2872 3223 3949 4688 5744 6446 7898 9376 11488 12892 15796 18752 22976 25784 31592 37504 45952 51568 63184 103136 105187 126368 206272 210374 252736 412544 420748 505472 841496 1157057 1682992 2314114 3365984 4628228 6731968 9256456 13463936 18512912 37025824 74051648 148103296