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61191040 = 275234157
BaseRepresentation
bin1110100101101…
…1001110000000
311021010211022211
43221123032000
5111131103130
610023311504
71342054351
oct351331600
9137124284
1061191040
11315a4809
12185ab594
13c8a6121
1481abd28
15558aa2a
hex3a5b380

61191040 has 64 divisors (see below), whose sum is σ = 152681760. Its totient is φ = 23406592.

The previous prime is 61190989. The next prime is 61191043. The reversal of 61191040 is 4019116.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61191043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12642 + ... + 16798.

Almost surely, 261191040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76340880).

61191040 is an abundant number, since it is smaller than the sum of its proper divisors (91490720).

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

61191040 is a wasteful number, since it uses less digits than its factorization.

61191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 61191040 is about 7822.4701980896. The cubic root of 61191040 is about 394.0602345488.

The spelling of 61191040 in words is "sixty-one million, one hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 4157 7360 8314 14720 16628 20785 33256 41570 66512 83140 95611 133024 166280 191222 266048 332560 382444 478055 532096 665120 764888 956110 1330240 1529776 1912220 2660480 3059552 3824440 6119104 7648880 12238208 15297760 30595520 61191040