Search a number
-
+
148725760 = 21353631
BaseRepresentation
bin10001101110101…
…10000000000000
3101100212001101111
420313112000000
5301033211020
622431413104
73454101541
oct1067260000
9340761344
10148725760
1176a51957
1241984194
1324a73c11
1415a764c8
15d0cbd5a
hex8dd6000

148725760 has 56 divisors (see below), whose sum is σ = 357018336. Its totient is φ = 59473920.

The previous prime is 148725743. The next prime is 148725767. The reversal of 148725760 is 67527841.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148725767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39145 + ... + 42775.

Almost surely, 2148725760 is an apocalyptic number.

148725760 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 148725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178509168).

148725760 is an abundant number, since it is smaller than the sum of its proper divisors (208292576).

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

148725760 is an frugal number, since it uses more digits than its factorization.

148725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 148725760 is about 12195.3171340478. The cubic root of 148725760 is about 529.8204684438.

The spelling of 148725760 in words is "one hundred forty-eight million, seven hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3631 4096 5120 7262 8192 10240 14524 18155 20480 29048 36310 40960 58096 72620 116192 145240 232384 290480 464768 580960 929536 1161920 1859072 2323840 3718144 4647680 7436288 9295360 14872576 18590720 29745152 37181440 74362880 148725760