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148395000 = 2335413761
BaseRepresentation
bin10001101100001…
…01001111111000
3101100020020200010
420312011033320
5300442120000
622420341520
73451223325
oct1066051770
9340206603
10148395000
11768463a6
12418448a0
13249894c0
14159cbb4c
15d063d50
hex8d853f8

148395000 has 160 divisors (see below), whose sum is σ = 499902480. Its totient is φ = 36480000.

The previous prime is 148394963. The next prime is 148395007. The reversal of 148395000 is 593841.

148395000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148395007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194620 + ... + 195380.

Almost surely, 2148395000 is an apocalyptic number.

148395000 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 148395000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249951240).

148395000 is an abundant number, since it is smaller than the sum of its proper divisors (351507480).

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

148395000 is a wasteful number, since it uses less digits than its factorization.

148395000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 148395000 is about 12181.7486429494. The cubic root of 148395000 is about 529.4274105761.

The spelling of 148395000 in words is "one hundred forty-eight million, three hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 750 761 780 975 1000 1250 1300 1500 1522 1560 1625 1875 1950 2283 2500 2600 3000 3044 3250 3750 3805 3900 4566 4875 5000 6088 6500 7500 7610 7800 8125 9132 9750 9893 11415 13000 15000 15220 16250 18264 19025 19500 19786 22830 24375 29679 30440 32500 38050 39000 39572 45660 48750 49465 57075 59358 65000 76100 79144 91320 95125 97500 98930 114150 118716 148395 152200 190250 195000 197860 228300 237432 247325 285375 296790 380500 395720 456600 475625 494650 570750 593580 741975 761000 951250 989300 1141500 1187160 1236625 1426875 1483950 1902500 1978600 2283000 2473250 2853750 2967900 3709875 3805000 4946500 5707500 5935800 6183125 7419750 9893000 11415000 12366250 14839500 18549375 24732500 29679000 37098750 49465000 74197500 148395000