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61396020 = 22325726961
BaseRepresentation
bin1110101000110…
…1010000110100
311021112020111200
43222031100310
5111204133040
610031532500
71343600100
oct352152064
9137466450
1061396020
1131724814
121868a130
13c94850a
148222900
1555cb630
hex3a8d434

61396020 has 108 divisors (see below), whose sum is σ = 216671364. Its totient is φ = 14031360.

The previous prime is 61395989. The next prime is 61396031. The reversal of 61396020 is 2069316.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35569296 + 25826724 = 5964^2 + 5082^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5340 + ... + 12300.

Almost surely, 261396020 is an apocalyptic number.

61396020 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 61396020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108335682).

61396020 is an abundant number, since it is smaller than the sum of its proper divisors (155275344).

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

61396020 is a wasteful number, since it uses less digits than its factorization.

61396020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61396020 is about 7835.5612434592. The cubic root of 61396020 is about 394.4997566346.

The spelling of 61396020 in words is "sixty-one million, three hundred ninety-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6961 8820 13922 20883 27844 34805 41766 48727 62649 69610 83532 97454 104415 125298 139220 146181 194908 208830 243635 250596 292362 313245 341089 417660 438543 487270 584724 626490 682178 730905 877086 974540 1023267 1252980 1364356 1461810 1705445 1754172 2046534 2192715 2923620 3069801 3410890 4093068 4385430 5116335 6139602 6821780 8770860 10232670 12279204 15349005 20465340 30698010 61396020