Search a number
-
+
151285104 = 2433477451
BaseRepresentation
bin10010000010001…
…10110101110000
3101112200002011000
421001012311300
5302212110404
623002322000
73514621305
oct1101066560
9345602130
10151285104
117843a813
12427b9300
132545bb19
14161410ac
15d435339
hex9046d70

151285104 has 80 divisors (see below), whose sum is σ = 443543040. Its totient is φ = 49348800.

The previous prime is 151285103. The next prime is 151285111. The reversal of 151285104 is 401582151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151285103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16579 + ... + 24029.

It is an arithmetic number, because the mean of its divisors is an integer number (5544288).

Almost surely, 2151285104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151285104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221771520).

151285104 is an abundant number, since it is smaller than the sum of its proper divisors (292257936).

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

151285104 is a wasteful number, since it uses less digits than its factorization.

151285104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151285104 is about 12299.8009739995. The cubic root of 151285104 is about 532.8423349203.

The spelling of 151285104 in words is "one hundred fifty-one million, two hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 7451 10152 14902 20304 22353 29804 44706 59608 67059 89412 119216 134118 178824 201177 268236 350197 357648 402354 536472 700394 804708 1050591 1072944 1400788 1609416 2101182 2801576 3151773 3218832 4202364 5603152 6303546 8404728 9455319 12607092 16809456 18910638 25214184 37821276 50428368 75642552 151285104