Search a number
-
+
2150746272 = 253231240899
BaseRepresentation
bin1000000000110001…
…1100100010100000
312112220000020020100
42000030130202200
513401042340042
6553225542400
7104204020203
oct20014344240
95486006210
102150746272
11a04049564
12500344a00
13283777b3c
141658d993a
15c8c3d24c
hex8031c8a0

2150746272 has 72 divisors (see below), whose sum is σ = 6313507200. Its totient is φ = 693786240.

The previous prime is 2150746237. The next prime is 2150746277. The reversal of 2150746272 is 2726470512.

It is a happy number.

2150746272 is a `hidden beast` number, since 21 + 5 + 0 + 7 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2150746277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111522 + ... + 129377.

It is an arithmetic number, because the mean of its divisors is an integer number (87687600).

Almost surely, 22150746272 is an apocalyptic number.

It is an amenable number.

2150746272 is an abundant number, since it is smaller than the sum of its proper divisors (4162760928).

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

2150746272 is a wasteful number, since it uses less digits than its factorization.

2150746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240946 (or 240935 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2150746272 is about 46376.1390372247. The cubic root of 2150746272 is about 1290.8121944956.

The spelling of 2150746272 in words is "two billion, one hundred fifty million, seven hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 240899 481798 722697 963596 1445394 1927192 2168091 2890788 3854384 4336182 5781576 7467869 7708768 8672364 11563152 14935738 17344728 22403607 23126304 29871476 34689456 44807214 59742952 67210821 69378912 89614428 119485904 134421642 179228856 238971808 268843284 358457712 537686568 716915424 1075373136 2150746272