[go: up one dir, main page]

Search a number
-
+
41070240 = 253453169
BaseRepresentation
bin1001110010101…
…0111010100000
32212021120210000
42130222322200
541003221430
64024140000
71006043211
oct234527240
985246700
1041070240
1121201752
1211907600
13867ca23
145651408
153913e60
hex272aea0

41070240 has 120 divisors (see below), whose sum is σ = 144989460. Its totient is φ = 10948608.

The previous prime is 41070221. The next prime is 41070247. The reversal of 41070240 is 4207014.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 467856 = 6372^2 + 684^2 .

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

It is a super-2 number, since 2×410702402 = 3373529227315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41070247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11376 + ... + 14544.

Almost surely, 241070240 is an apocalyptic number.

41070240 is a gapful number since it is divisible by the number (40) 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 41070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72494730).

41070240 is an abundant number, since it is smaller than the sum of its proper divisors (103919220).

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

41070240 is a wasteful number, since it uses less digits than its factorization.

41070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 41070240 is about 6408.6067128511. The cubic root of 41070240 is about 345.0185245252.

Adding to 41070240 its reverse (4207014), we get a palindrome (45277254).

The spelling of 41070240 in words is "forty-one million, seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3169 3240 4320 6338 6480 9507 12676 12960 15845 19014 25352 28521 31690 38028 47535 50704 57042 63380 76056 85563 95070 101408 114084 126760 142605 152112 171126 190140 228168 253520 256689 285210 304224 342252 380280 427815 456336 507040 513378 570420 684504 760560 855630 912672 1026756 1140840 1283445 1369008 1521120 1711260 2053512 2281680 2566890 2738016 3422520 4107024 4563360 5133780 6845040 8214048 10267560 13690080 20535120 41070240