Search a number
-
+
2150942272 = 261719671553
BaseRepresentation
bin1000000000110100…
…1100011001000000
312112220101012002121
42000031030121000
513401120123042
6553234054024
7104205464503
oct20015143100
95486335077
102150942272
11a04172846
1250041a314
1328381610b
1416594b13a
15c8c7b367
hex8034c640

2150942272 has 112 divisors (see below), whose sum is σ = 4831323840. Its totient is φ = 944013312.

The previous prime is 2150942257. The next prime is 2150942281. The reversal of 2150942272 is 2722490512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 1384248 + ... + 1385800.

It is an arithmetic number, because the mean of its divisors is an integer number (43136820).

Almost surely, 22150942272 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 2150942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415661920).

2150942272 is an abundant number, since it is smaller than the sum of its proper divisors (2680381568).

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

2150942272 is a wasteful number, since it uses less digits than its factorization.

2150942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2150942272 is about 46378.2521447284. The cubic root of 2150942272 is about 1290.8514043749.

The spelling of 2150942272 in words is "two billion, one hundred fifty million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 67 68 76 134 136 152 268 272 304 323 536 544 608 646 1072 1088 1139 1216 1273 1292 1553 2144 2278 2546 2584 3106 4288 4556 5092 5168 6212 9112 10184 10336 12424 18224 20368 20672 21641 24848 26401 29507 36448 40736 43282 49696 52802 59014 72896 81472 86564 99392 104051 105604 118028 173128 208102 211208 236056 346256 416204 422416 472112 501619 692512 832408 844832 944224 1003238 1385024 1664816 1689664 1768867 1888448 1976969 2006476 3329632 3537734 3953938 4012952 6659264 7075468 7907876 8025904 14150936 15815752 16051808 28301872 31631504 32103616 33608473 56603744 63263008 67216946 113207488 126526016 134433892 268867784 537735568 1075471136 2150942272