Search a number
-
+
293270896000 = 275371258161
BaseRepresentation
bin1000100010010000100…
…11101011110110000000
31001000222112221010102001
410101020103223312000
514301104322133000
6342420553033344
730121345325335
oct4211023536600
91030875833361
10293270896000
11103414858925
1248a079b5854
13218699a3574
14102a158098c
157966a5546a
hex44484ebd80

293270896000 has 128 divisors (see below), whose sum is σ = 739417273920. Its totient is φ = 115655680000.

The previous prime is 293270895991. The next prime is 293270896007. The reversal of 293270896000 is 698072392.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293270896007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006920 + ... + 1265080.

Almost surely, 2293270896000 is an apocalyptic number.

293270896000 is a gapful number since it is divisible by the number (20) 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 293270896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369708636960).

293270896000 is an abundant number, since it is smaller than the sum of its proper divisors (446146377920).

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

293270896000 is an equidigital number, since it uses as much as digits as its factorization.

293270896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258261 (or 258239 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 293270896000 in words is "two hundred ninety-three billion, two hundred seventy million, eight hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 250 284 320 355 400 500 568 640 710 800 1000 1136 1420 1600 1775 2000 2272 2840 3200 3550 4000 4544 5680 7100 8000 8875 9088 11360 14200 16000 17750 22720 28400 35500 45440 56800 71000 113600 142000 227200 258161 284000 516322 568000 1032644 1136000 1290805 2065288 2581610 4130576 5163220 6454025 8261152 10326440 12908050 16522304 18329431 20652880 25816100 32270125 33044608 36658862 41305760 51632200 64540250 73317724 82611520 91647155 103264400 129080500 146635448 165223040 183294310 206528800 258161000 293270896 366588620 413057600 458235775 516322000 586541792 733177240 826115200 916471550 1032644000 1173083584 1466354480 1832943100 2065288000 2291178875 2346167168 2932708960 3665886200 4130576000 4582357750 5865417920 7331772400 9164715500 11730835840 14663544800 18329431000 29327089600 36658862000 58654179200 73317724000 146635448000 293270896000