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61226460 = 22325232643
BaseRepresentation
bin1110100110001…
…1110111011100
311021012121220200
43221203313130
5111133221320
610024143500
71342262541
oct351436734
9137177820
1061226460
1131619389
1218607b90
13c8b9299
1481babc8
155596290
hex3a63ddc

61226460 has 108 divisors (see below), whose sum is σ = 194448072. Its totient is φ = 15592896.

The previous prime is 61226449. The next prime is 61226461. The reversal of 61226460 is 6462216.

It is a happy number.

61226460 is a `hidden beast` number, since 6 + 12 + 2 + 646 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61226461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94899 + ... + 95541.

Almost surely, 261226460 is an apocalyptic number.

61226460 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 61226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97224036).

61226460 is an abundant number, since it is smaller than the sum of its proper divisors (133221612).

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

61226460 is a wasteful number, since it uses less digits than its factorization.

61226460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61226460 is about 7824.7338612888. The cubic root of 61226460 is about 394.1362528748.

Adding to 61226460 its reverse (6462216), we get a palindrome (67688676).

It can be divided in two parts, 612 and 26460, that added together give a palindrome (27072).

The spelling of 61226460 in words is "sixty-one million, two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 529 643 690 828 1035 1058 1286 1380 1587 1929 2070 2116 2572 2645 3174 3215 3858 4140 4761 5290 5787 6348 6430 7716 7935 9522 9645 10580 11574 12860 14789 15870 19044 19290 23148 23805 28935 29578 31740 38580 44367 47610 57870 59156 73945 88734 95220 115740 133101 147890 177468 221835 266202 295780 340147 443670 532404 665505 680294 887340 1020441 1331010 1360588 1700735 2040882 2662020 3061323 3401470 4081764 5102205 6122646 6802940 10204410 12245292 15306615 20408820 30613230 61226460