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61431240 = 23351353743
BaseRepresentation
bin1110101001010…
…1110111001000
311021121000211010
43222111313020
5111211244430
610032403520
71344104553
oct352256710
9137530733
1061431240
1131749222
12186a65a0
13c95b560
14823169a
1555d6cb0
hex3a95dc8

61431240 has 128 divisors (see below), whose sum is σ = 202487040. Its totient is φ = 14816256.

The previous prime is 61431239. The next prime is 61431247. The reversal of 61431240 is 4213416.

It is a super-3 number, since 3×614312403 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61431247) 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, 82309 + ... + 83051.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 261431240 is an apocalyptic number.

61431240 is a gapful number since it is divisible by the number (60) 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 61431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

61431240 is an abundant number, since it is smaller than the sum of its proper divisors (141055800).

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

61431240 is a wasteful number, since it uses less digits than its factorization.

61431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61431240 is about 7837.8083671394. The cubic root of 61431240 is about 394.5751775139.

Adding to 61431240 its reverse (4213416), we get a palindrome (65644656).

The spelling of 61431240 in words is "sixty-one million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 743 780 795 1060 1272 1378 1486 1560 1590 2067 2120 2229 2756 2972 3180 3445 3715 4134 4458 5512 5944 6360 6890 7430 8268 8916 9659 10335 11145 13780 14860 16536 17832 19318 20670 22290 27560 28977 29720 38636 39379 41340 44580 48295 57954 77272 78758 82680 89160 96590 115908 118137 144885 157516 193180 196895 231816 236274 289770 315032 386360 393790 472548 511927 579540 590685 787580 945096 1023854 1159080 1181370 1535781 1575160 2047708 2362740 2559635 3071562 4095416 4725480 5119270 6143124 7678905 10238540 12286248 15357810 20477080 30715620 61431240