Search a number
-
+
120631350 = 23527131877
BaseRepresentation
bin1110011000010…
…11000000110110
322101222201002210
413030023000312
5221340200400
615545314250
72663230620
oct714130066
9271881083
10120631350
1162103134
1234495986
131bcb83c8
1412041c10
15a8cc950
hex730b036

120631350 has 96 divisors (see below), whose sum is σ = 344906496. Its totient is φ = 27331200.

The previous prime is 120631321. The next prime is 120631351. The reversal of 120631350 is 53136021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120631351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137112 + ... + 137988.

It is an arithmetic number, because the mean of its divisors is an integer number (3592776).

Almost surely, 2120631350 is an apocalyptic number.

120631350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120631350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172453248).

120631350 is an abundant number, since it is smaller than the sum of its proper divisors (224275146).

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

120631350 is a wasteful number, since it uses less digits than its factorization.

120631350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 120631350 is about 10983.2303991130. The cubic root of 120631350 is about 494.1059261342.

Adding to 120631350 its reverse (53136021), we get a palindrome (173767371).

The spelling of 120631350 in words is "one hundred twenty million, six hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 131 150 175 210 262 350 393 525 655 786 877 917 1050 1310 1754 1834 1965 2631 2751 3275 3930 4385 4585 5262 5502 6139 6550 8770 9170 9825 12278 13155 13755 18417 19650 21925 22925 26310 27510 30695 36834 43850 45850 61390 65775 68775 92085 114887 131550 137550 153475 184170 229774 306950 344661 460425 574435 689322 804209 920850 1148870 1608418 1723305 2412627 2872175 3446610 4021045 4825254 5744350 8042090 8616525 12063135 17233050 20105225 24126270 40210450 60315675 120631350