Search a number
-
+
149232000 = 273533109
BaseRepresentation
bin10001110010100…
…01100110000000
3101101210202211010
420321101212000
5301200411000
622450320520
73461310501
oct1071214600
9341722733
10149232000
1177268235
1241b89140
1324bc0478
1415b68ba8
15d17bd50
hex8e51980

149232000 has 128 divisors (see below), whose sum is σ = 494863200. Its totient is φ = 39782400.

The previous prime is 149231983. The next prime is 149232007. The reversal of 149232000 is 232941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149232007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46446 + ... + 49554.

Almost surely, 2149232000 is an apocalyptic number.

149232000 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 149232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247431600).

149232000 is an abundant number, since it is smaller than the sum of its proper divisors (345631200).

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

149232000 is an equidigital number, since it uses as much as digits as its factorization.

149232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 149232000 is about 12216.0550096993. The cubic root of 149232000 is about 530.4209305864.

Adding to 149232000 its reverse (232941), we get a palindrome (149464941).

The spelling of 149232000 in words is "one hundred forty-nine million, two hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3109 3200 4000 4800 6000 6218 8000 9327 9600 12000 12436 15545 16000 18654 24000 24872 31090 37308 46635 48000 49744 62180 74616 77725 93270 99488 124360 149232 155450 186540 198976 233175 248720 298464 310900 373080 388625 397952 466350 497440 596928 621800 746160 777250 932700 994880 1165875 1193856 1243600 1492320 1554500 1865400 1989760 2331750 2487200 2984640 3109000 3730800 4663500 4974400 5969280 6218000 7461600 9327000 9948800 12436000 14923200 18654000 24872000 29846400 37308000 49744000 74616000 149232000