Search a number
-
+
148201360 = 24514912433
BaseRepresentation
bin10001101010101…
…01111110010000
3101022212102001021
420311111332100
5300414420420
622412245224
73446455636
oct1065257620
9338772037
10148201360
117672396a
1241770814
132491c318
141597b356
15d0267aa
hex8d55f90

148201360 has 40 divisors (see below), whose sum is σ = 346908600. Its totient is φ = 58877952.

The previous prime is 148201357. The next prime is 148201381. The reversal of 148201360 is 63102841.

148201360 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 146603664 = 1264^2 + 12108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5704 + ... + 18136.

It is an arithmetic number, because the mean of its divisors is an integer number (8672715).

Almost surely, 2148201360 is an apocalyptic number.

148201360 is a gapful number since it is divisible by the number (10) 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 148201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173454300).

148201360 is an abundant number, since it is smaller than the sum of its proper divisors (198707240).

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

148201360 is a wasteful number, since it uses less digits than its factorization.

148201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 148201360 is about 12173.7980926250. The cubic root of 148201360 is about 529.1970278183.

The spelling of 148201360 in words is "one hundred forty-eight million, two hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 12433 24866 49732 62165 99464 124330 198928 248660 497320 994640 1852517 3705034 7410068 9262585 14820136 18525170 29640272 37050340 74100680 148201360