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61693440 = 293529277
BaseRepresentation
bin1110101101010…
…1111000000000
311022002100111020
43223111320000
5111243142230
610042145440
71346246154
oct353257000
9138070436
1061693440
1131908216
12187b2280
13ca209c3
14829d064
155639810
hex3ad5e00

61693440 has 160 divisors (see below), whose sum is σ = 204763680. Its totient is φ = 15826944.

The previous prime is 61693439. The next prime is 61693483. The reversal of 61693440 is 4439616.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222582 + ... + 222858.

It is an arithmetic number, because the mean of its divisors is an integer number (1279773).

Almost surely, 261693440 is an apocalyptic number.

61693440 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 61693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102381840).

61693440 is an abundant number, since it is smaller than the sum of its proper divisors (143070240).

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

61693440 is a wasteful number, since it uses less digits than its factorization.

61693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 61693440 is about 7854.5171716663. The cubic root of 61693440 is about 395.1357542250.

The spelling of 61693440 in words is "sixty-one million, six hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 277 290 320 348 384 435 464 480 512 554 580 640 696 768 831 870 928 960 1108 1160 1280 1385 1392 1536 1662 1740 1856 1920 2216 2320 2560 2770 2784 3324 3480 3712 3840 4155 4432 4640 5540 5568 6648 6960 7424 7680 8033 8310 8864 9280 11080 11136 13296 13920 14848 16066 16620 17728 18560 22160 22272 24099 26592 27840 32132 33240 35456 37120 40165 44320 44544 48198 53184 55680 64264 66480 70912 74240 80330 88640 96396 106368 111360 120495 128528 132960 141824 160660 177280 192792 212736 222720 240990 257056 265920 321320 354560 385584 425472 481980 514112 531840 642640 709120 771168 963960 1028224 1063680 1285280 1542336 1927920 2056448 2127360 2570560 3084672 3855840 4112896 5141120 6169344 7711680 10282240 12338688 15423360 20564480 30846720 61693440