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241949136 = 2431113101349
BaseRepresentation
bin11100110101111…
…01100111010000
3121212021021211010
432122331213100
5443414333021
640001450520
75665351032
oct1632754720
9555237733
10241949136
11114634a70
1269040a40
133b184090
14241c1c52
1516393976
hexe6bd9d0

241949136 has 160 divisors (see below), whose sum is σ = 743702400. Its totient is φ = 66816000.

The previous prime is 241949131. The next prime is 241949161. The reversal of 241949136 is 631949142.

It is a super-2 number, since 2×2419491362 = 117078768822292992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 241949094 and 241949103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241949131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693090 + ... + 693438.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2241949136 is an apocalyptic number.

241949136 is a gapful number since it is divisible by the number (26) 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 241949136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371851200).

241949136 is an abundant number, since it is smaller than the sum of its proper divisors (501753264).

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

241949136 is a wasteful number, since it uses less digits than its factorization.

241949136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 241949136 is about 15554.7142693140. The cubic root of 241949136 is about 623.1243058523.

The spelling of 241949136 in words is "two hundred forty-one million, nine hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 101 104 132 143 156 176 202 208 264 286 303 312 349 404 429 528 572 606 624 698 808 858 1047 1111 1144 1212 1313 1396 1616 1716 2094 2222 2288 2424 2626 2792 3333 3432 3839 3939 4188 4444 4537 4848 5252 5584 6666 6864 7678 7878 8376 8888 9074 10504 11517 13332 13611 14443 15356 15756 16752 17776 18148 21008 23034 26664 27222 28886 30712 31512 35249 36296 43329 46068 49907 53328 54444 57772 61424 63024 70498 72592 86658 92136 99814 105747 108888 115544 140996 149721 173316 184272 199628 211494 217776 231088 281992 299442 346632 387739 399256 422988 458237 563984 598884 693264 775478 798512 845976 916474 1163217 1197768 1374711 1550956 1691952 1832948 2326434 2395536 2749422 3101912 3665896 4652868 5040607 5498844 6203824 7331792 9305736 10081214 10997688 15121821 18611472 20162428 21995376 30243642 40324856 60487284 80649712 120974568 241949136