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61691220 = 22345113337
BaseRepresentation
bin1110101101010…
…1010101010100
311022002020110000
43223111111110
5111243104340
610042131300
71346236533
oct353252524
9138066400
1061691220
1131906588
12187b0b30
13ca1c9a6
14829c31a
155638d30
hex3ad5554

61691220 has 120 divisors (see below), whose sum is σ = 195819624. Its totient is φ = 16257024.

The previous prime is 61691219. The next prime is 61691239. The reversal of 61691220 is 2219616.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 60746436 = 972^2 + 7794^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 182892 + ... + 183228.

Almost surely, 261691220 is an apocalyptic number.

61691220 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 61691220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97909812).

61691220 is an abundant number, since it is smaller than the sum of its proper divisors (134128404).

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

61691220 is a wasteful number, since it uses less digits than its factorization.

61691220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61691220 is about 7854.3758504416. The cubic root of 61691220 is about 395.1310145969.

The spelling of 61691220 in words is "sixty-one million, six hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 180 226 270 324 337 339 405 452 540 565 674 678 810 1011 1017 1130 1348 1356 1620 1685 1695 2022 2034 2260 3033 3051 3370 3390 4044 4068 5055 5085 6066 6102 6740 6780 9099 9153 10110 10170 12132 12204 15165 15255 18198 18306 20220 20340 27297 30330 30510 36396 36612 38081 45495 45765 54594 60660 61020 76162 90990 91530 109188 114243 136485 152324 181980 183060 190405 228486 272970 342729 380810 456972 545940 571215 685458 761620 1028187 1142430 1370916 1713645 2056374 2284860 3084561 3427290 4112748 5140935 6169122 6854580 10281870 12338244 15422805 20563740 30845610 61691220