Search a number
-
+
245772240 = 24357220899
BaseRepresentation
bin11101010011000…
…10111111010000
3122010110112010120
432221202333100
51000404202430
640215430240
76043013100
oct1651427720
9563415116
10245772240
1111680635a
126a385380
133bbc227c
14248d9200
151689b610
hexea62fd0

245772240 has 120 divisors (see below), whose sum is σ = 886327200. Its totient is φ = 56173824.

The previous prime is 245772223. The next prime is 245772257. The reversal of 245772240 is 42277542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245772223) and next prime (245772257).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311 + ... + 22209.

It is an arithmetic number, because the mean of its divisors is an integer number (7386060).

Almost surely, 2245772240 is an apocalyptic number.

245772240 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 245772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443163600).

245772240 is an abundant number, since it is smaller than the sum of its proper divisors (640554960).

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

245772240 is a wasteful number, since it uses less digits than its factorization.

245772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20929 (or 20916 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 245772240 is about 15677.1247363794. The cubic root of 245772240 is about 626.3892212816.

The spelling of 245772240 in words is "two hundred forty-five million, seven hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 20899 41798 62697 83596 104495 125394 146293 167192 208990 250788 292586 313485 334384 417980 438879 501576 585172 626970 731465 835960 877758 1003152 1024051 1170344 1253940 1462930 1671920 1755516 2048102 2194395 2340688 2507880 2925860 3072153 3511032 4096204 4388790 5015760 5120255 5851720 6144306 7022064 8192408 8777580 10240510 11703440 12288612 15360765 16384816 17555160 20481020 24577224 30721530 35110320 40962040 49154448 61443060 81924080 122886120 245772240