Search a number
-
+
150842384 = 24721117491
BaseRepresentation
bin10001111110110…
…10110000010000
3101111211120211222
420333122300100
5302103424014
622545024212
73511065500
oct1077326020
9344746758
10150842384
1178168130
1242625068
1325335464
1416067a00
15d39908e
hex8fdac10

150842384 has 60 divisors (see below), whose sum is σ = 370900368. Its totient is φ = 58766400.

The previous prime is 150842381. The next prime is 150842407. The reversal of 150842384 is 483248051.

It is not an unprimeable number, because it can be changed into a prime (150842381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122 + ... + 17369.

Almost surely, 2150842384 is an apocalyptic number.

150842384 is a gapful number since it is divisible by the number (14) 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 150842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185450184).

150842384 is an abundant number, since it is smaller than the sum of its proper divisors (220057984).

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

150842384 is a wasteful number, since it uses less digits than its factorization.

150842384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 150842384 is about 12281.7907489095. The cubic root of 150842384 is about 532.3220579966.

The spelling of 150842384 in words is "one hundred fifty million, eight hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 17491 34982 69964 122437 139928 192401 244874 279856 384802 489748 769604 857059 979496 1346807 1539208 1714118 1958992 2693614 3078416 3428236 5387228 6856472 9427649 10774456 13712944 18855298 21548912 37710596 75421192 150842384