Search a number
-
+
150702720 = 2735711213
BaseRepresentation
bin10001111101110…
…00101010000000
3101111120111021020
420332320222000
5302034441340
622542025440
73506644350
oct1076705200
9344514236
10150702720
1178082203
1242578280
13252b6a0c
141602cb60
15d36c9d0
hex8fb8a80

150702720 has 128 divisors (see below), whose sum is σ = 549037440. Its totient is φ = 34443264.

The previous prime is 150702719. The next prime is 150702743. The reversal of 150702720 is 27207051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1507027202 = 45422619630796800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7834 + ... + 19046.

It is an arithmetic number, because the mean of its divisors is an integer number (4289355).

Almost surely, 2150702720 is an apocalyptic number.

150702720 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 150702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274518720).

150702720 is an abundant number, since it is smaller than the sum of its proper divisors (398334720).

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

150702720 is a wasteful number, since it uses less digits than its factorization.

150702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 150702720 is about 12276.1036163760. The cubic root of 150702720 is about 532.1577160672.

Adding to 150702720 its reverse (27207051), we get a palindrome (177909771).

The spelling of 150702720 in words is "one hundred fifty million, seven hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 11213 13440 22426 33639 44852 56065 67278 78491 89704 112130 134556 156982 168195 179408 224260 235473 269112 313964 336390 358816 392455 448520 470946 538224 627928 672780 717632 784910 897040 941892 1076448 1177365 1255856 1345560 1435264 1569820 1794080 1883784 2152896 2354730 2511712 2691120 3139640 3588160 3767568 4305792 4709460 5023424 5382240 6279280 7176320 7535136 9418920 10046848 10764480 12558560 15070272 18837840 21528960 25117120 30140544 37675680 50234240 75351360 150702720