Search a number
-
+
150774960 = 24357212821
BaseRepresentation
bin10001111110010…
…10010010110000
3101111201011100210
420333022102300
5302044244320
622543344120
73510365100
oct1077122260
9344634323
10150774960
1178121506
12425b2040
132531086b
141604b200
15d3840e0
hex8fca4b0

150774960 has 120 divisors (see below), whose sum is σ = 543755376. Its totient is φ = 34460160.

The previous prime is 150774941. The next prime is 150774997. The reversal of 150774960 is 69477051.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5350 + ... + 18170.

Almost surely, 2150774960 is an apocalyptic number.

150774960 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 150774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271877688).

150774960 is an abundant number, since it is smaller than the sum of its proper divisors (392980416).

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

150774960 is a wasteful number, since it uses less digits than its factorization.

150774960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 150774960 is about 12279.0455655153. The cubic root of 150774960 is about 532.2427331844.

It can be divided in two parts, 1507 and 74960, that added together give a palindrome (76467).

The spelling of 150774960 in words is "one hundred fifty million, seven hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 12821 25642 38463 51284 64105 76926 89747 102568 128210 153852 179494 192315 205136 256420 269241 307704 358988 384630 448735 512840 538482 615408 628229 717976 769260 897470 1025680 1076964 1256458 1346205 1435952 1538520 1794940 1884687 2153928 2512916 2692410 3077040 3141145 3589880 3769374 4307856 5025832 5384820 6282290 7179760 7538748 9423435 10051664 10769640 12564580 15077496 18846870 21539280 25129160 30154992 37693740 50258320 75387480 150774960