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151440000 = 27354631
BaseRepresentation
bin10010000011011…
…00101010000000
3101112221221121220
421001230222000
5302232040000
623005515040
73516135015
oct1101545200
9345857556
10151440000
1178536128
1242872a80
13254b448a
141618170c
15d4661a0
hex906ca80

151440000 has 160 divisors (see below), whose sum is σ = 503463840. Its totient is φ = 40320000.

The previous prime is 151439987. The next prime is 151440011. The reversal of 151440000 is 44151.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 239685 + ... + 240315.

It is an arithmetic number, because the mean of its divisors is an integer number (3146649).

Almost surely, 2151440000 is an apocalyptic number.

151440000 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 151440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251731920).

151440000 is an abundant number, since it is smaller than the sum of its proper divisors (352023840).

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

151440000 is an frugal number, since it uses more digits than its factorization.

151440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 151440000 is about 12306.0960503321. The cubic root of 151440000 is about 533.0241263234.

Adding to 151440000 its reverse (44151), we get a palindrome (151484151).

It can be divided in two parts, 1514 and 40000, that added together give a palindrome (41514).

The spelling of 151440000 in words is "one hundred fifty-one million, four 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 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 631 640 750 800 960 1000 1200 1250 1262 1500 1600 1875 1893 1920 2000 2400 2500 2524 3000 3155 3200 3750 3786 4000 4800 5000 5048 6000 6310 7500 7572 8000 9465 9600 10000 10096 12000 12620 15000 15144 15775 16000 18930 20000 20192 24000 25240 30000 30288 31550 37860 40000 40384 47325 48000 50480 60000 60576 63100 75720 78875 80000 80768 94650 100960 120000 121152 126200 151440 157750 189300 201920 236625 240000 242304 252400 302880 315500 378600 394375 403840 473250 504800 605760 631000 757200 788750 946500 1009600 1183125 1211520 1262000 1514400 1577500 1893000 2019200 2366250 2524000 3028800 3155000 3786000 4732500 5048000 6057600 6310000 7572000 9465000 10096000 12620000 15144000 18930000 25240000 30288000 37860000 50480000 75720000 151440000