Search a number
-
+
151104480 = 25352313687
BaseRepresentation
bin10010000000110…
…10101111100000
3101112022220101020
421000122233200
5302140320410
622554405440
73513236562
oct1100325740
9345286336
10151104480
117832703a
1242730880
13253c7847
14160d5332
15d3eba70
hex901abe0

151104480 has 96 divisors (see below), whose sum is σ = 496710144. Its totient is φ = 38539776.

The previous prime is 151104433. The next prime is 151104521. The reversal of 151104480 is 84401151.

151104480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151104480.

It is a congruent number.

It is an unprimeable number.

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, 4197 + ... + 17883.

It is an arithmetic number, because the mean of its divisors is an integer number (5174064).

Almost surely, 2151104480 is an apocalyptic number.

151104480 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 151104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248355072).

151104480 is an abundant number, since it is smaller than the sum of its proper divisors (345605664).

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

151104480 is a wasteful number, since it uses less digits than its factorization.

151104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 151104480 is about 12292.4562232289. The cubic root of 151104480 is about 532.6301914470.

The spelling of 151104480 in words is "one hundred fifty-one million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 13687 27374 41061 54748 68435 82122 109496 136870 164244 205305 218992 273740 314801 328488 410610 437984 547480 629602 656976 821220 944403 1094960 1259204 1313952 1574005 1642440 1888806 2189920 2518408 3148010 3284880 3777612 4722015 5036816 6296020 6569760 7555224 9444030 10073632 12592040 15110448 18888060 25184080 30220896 37776120 50368160 75552240 151104480