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245280690 = 233519137349
BaseRepresentation
bin11101001111010…
…10111110110010
3122002112112212000
432213222332302
51000242440230
640201114430
76035565024
oct1647527662
9562475760
10245280690
11116500016
126a188a16
133ba7c605
142480c014
1516800b60
hexe9eafb2

245280690 has 128 divisors (see below), whose sum is σ = 695520000. Its totient is φ = 61337088.

The previous prime is 245280689. The next prime is 245280691. The reversal of 245280690 is 96082542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245280689) and next prime (245280691).

It is a super-2 number, since 2×2452806902 = 120325233773752200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (245280691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 702636 + ... + 702984.

It is an arithmetic number, because the mean of its divisors is an integer number (5433750).

Almost surely, 2245280690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245280690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760000).

245280690 is an abundant number, since it is smaller than the sum of its proper divisors (450239310).

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

245280690 is a wasteful number, since it uses less digits than its factorization.

245280690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 245280690 is about 15661.4395890033. The cubic root of 245280690 is about 625.9713450666.

The spelling of 245280690 in words is "two hundred forty-five million, two hundred eighty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 137 171 190 270 274 285 342 349 411 513 570 685 698 822 855 1026 1047 1233 1370 1710 1745 2055 2094 2466 2565 2603 3141 3490 3699 4110 5130 5206 5235 6165 6282 6631 7398 7809 9423 10470 12330 13015 13262 15618 15705 18495 18846 19893 23427 26030 31410 33155 36990 39045 39786 46854 47115 47813 59679 66310 70281 78090 94230 95626 99465 117135 119358 140562 143439 179037 198930 234270 239065 286878 298395 351405 358074 430317 478130 596790 702810 717195 860634 895185 908447 1290951 1434390 1790370 1816894 2151585 2581902 2725341 4303170 4542235 5450682 6454755 8176023 9084470 12909510 13626705 16352046 24528069 27253410 40880115 49056138 81760230 122640345 245280690