Search a number
-
+
10746230560 = 255137172767
BaseRepresentation
bin10100000001000011…
…00111011100100000
31000201220221002000021
422000201213130200
5134002013334220
64534201003224
7530205311152
oct120041473440
930656832007
1010746230560
114614a7008a
1220baa83514
131023495310
1473d2d2ad2
1542d6634aa
hex280867720

10746230560 has 96 divisors (see below), whose sum is σ = 27726354432. Its totient is φ = 3911900160.

The previous prime is 10746230549. The next prime is 10746230581. The reversal of 10746230560 is 6503264701.

It is a happy number.

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, 111297 + ... + 184063.

It is an arithmetic number, because the mean of its divisors is an integer number (288816192).

Almost surely, 210746230560 is an apocalyptic number.

10746230560 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 10746230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863177216).

10746230560 is an abundant number, since it is smaller than the sum of its proper divisors (16980123872).

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

10746230560 is a wasteful number, since it uses less digits than its factorization.

10746230560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72866 (or 72858 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 10746230560 in words is "ten billion, seven hundred forty-six million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 568 710 923 1040 1136 1420 1846 2080 2272 2840 3692 4615 5680 7384 9230 11360 14768 18460 29536 36920 72767 73840 145534 147680 291068 363835 582136 727670 945971 1164272 1455340 1891942 2328544 2910680 3783884 4729855 5166457 5821360 7567768 9459710 10332914 11642720 15135536 18919420 20665828 25832285 30271072 37838840 41331656 51664570 67163941 75677680 82663312 103329140 134327882 151355360 165326624 206658280 268655764 335819705 413316560 537311528 671639410 826633120 1074623056 1343278820 2149246112 2686557640 5373115280 10746230560