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153240000 = 263541277
BaseRepresentation
bin10010010001001…
…00000111000000
3101200100101202120
421020210013000
5303212140000
623112244240
73540342564
oct1110440700
9350311676
10153240000
1179555531
12433a0680
1325994874
14164cd6a4
15d6be6a0
hex92241c0

153240000 has 140 divisors (see below), whose sum is σ = 507043944. Its totient is φ = 40832000.

The previous prime is 153239993. The next prime is 153240011. The reversal of 153240000 is 42351.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119362 + ... + 120638.

Almost surely, 2153240000 is an apocalyptic number.

153240000 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 153240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253521972).

153240000 is an abundant number, since it is smaller than the sum of its proper divisors (353803944).

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

153240000 is an equidigital number, since it uses as much as digits as its factorization.

153240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 153240000 is about 12379.0145003550. The cubic root of 153240000 is about 535.1276371741.

Adding to 153240000 its reverse (42351), we get a palindrome (153282351).

The spelling of 153240000 in words is "one hundred fifty-three million, two hundred forty 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 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1277 1500 1600 1875 2000 2400 2500 2554 3000 3750 3831 4000 4800 5000 5108 6000 6385 7500 7662 8000 10000 10216 12000 12770 15000 15324 19155 20000 20432 24000 25540 30000 30648 31925 38310 40000 40864 51080 60000 61296 63850 76620 81728 95775 102160 120000 122592 127700 153240 159625 191550 204320 245184 255400 306480 319250 383100 408640 478875 510800 612960 638500 766200 798125 957750 1021600 1225920 1277000 1532400 1596250 1915500 2043200 2394375 2554000 3064800 3192500 3831000 4788750 5108000 6129600 6385000 7662000 9577500 10216000 12770000 15324000 19155000 25540000 30648000 38310000 51080000 76620000 153240000