Search a number
-
+
148300800 = 2103521931
BaseRepresentation
bin10001101011011…
…10010000000000
3101100001110110020
420311232100000
5300431111200
622414333440
73450351564
oct1065562000
9340043406
10148300800
117679164a
12417ba280
132495566b
14159a56a4
15d045ea0
hex8d6e400

148300800 has 132 divisors (see below), whose sum is σ = 490395696. Its totient is φ = 39526400.

The previous prime is 148300799. The next prime is 148300819. The reversal of 148300800 is 8003841.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75835 + ... + 77765.

Almost surely, 2148300800 is an apocalyptic number.

148300800 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 148300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245197848).

148300800 is an abundant number, since it is smaller than the sum of its proper divisors (342094896).

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

148300800 is a wasteful number, since it uses less digits than its factorization.

148300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 148300800 is about 12177.8815891763. The cubic root of 148300800 is about 529.3153613862.

The spelling of 148300800 in words is "one hundred forty-eight million, three hundred thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 1931 2400 2560 3072 3200 3840 3862 4800 5120 5793 6400 7680 7724 9600 9655 11586 12800 15360 15448 19200 19310 23172 25600 28965 30896 38400 38620 46344 48275 57930 61792 76800 77240 92688 96550 115860 123584 144825 154480 185376 193100 231720 247168 289650 308960 370752 386200 463440 494336 579300 617920 741504 772400 926880 988672 1158600 1235840 1483008 1544800 1853760 1977344 2317200 2471680 2966016 3089600 3707520 4634400 4943360 5932032 6179200 7415040 9268800 9886720 12358400 14830080 18537600 24716800 29660160 37075200 49433600 74150400 148300800