Search a number
-
+
151250820 = 22357379733
BaseRepresentation
bin10010000001111…
…10011110000100
3101112121100010020
421000332132010
5302210011240
623001455140
73514416330
oct1100763604
9345540106
10151250820
1178416a86
12427a14b0
1325449336
14161327c0
15d42a0d0
hex903e784

151250820 has 96 divisors (see below), whose sum is σ = 497134848. Its totient is φ = 33633792.

The previous prime is 151250809. The next prime is 151250821. The reversal of 151250820 is 28052151.

It is not an unprimeable number, because it can be changed into a prime (151250821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10674 + ... + 20406.

It is an arithmetic number, because the mean of its divisors is an integer number (5178488).

Almost surely, 2151250820 is an apocalyptic number.

151250820 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 151250820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248567424).

151250820 is an abundant number, since it is smaller than the sum of its proper divisors (345884028).

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

151250820 is a wasteful number, since it uses less digits than its factorization.

151250820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789 (or 9787 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 151250820 is about 12298.4072139444. The cubic root of 151250820 is about 532.8020812398.

The spelling of 151250820 in words is "one hundred fifty-one million, two hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 9733 15540 19466 29199 38932 48665 58398 68131 97330 116796 136262 145995 194660 204393 272524 291990 340655 360121 408786 583980 681310 720242 817572 1021965 1080363 1362620 1440484 1800605 2043930 2160726 2520847 3601210 4087860 4321452 5041694 5401815 7202420 7562541 10083388 10803630 12604235 15125082 21607260 25208470 30250164 37812705 50416940 75625410 151250820