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61374240 = 2533514207
BaseRepresentation
bin1110101000011…
…1111100100000
311021111010122000
43222013330200
5111202433430
610031244000
71343446434
oct352077440
9137433560
1061374240
113170a414
1218679600
13c93b625
1482189c4
1555c4e60
hex3a87f20

61374240 has 96 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 16365312.

The previous prime is 61374223. The next prime is 61374241. The reversal of 61374240 is 4247316.

61374240 is a `hidden beast` number, since 613 + 7 + 4 + 2 + 40 = 666.

61374240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (61374241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784 + ... + 11423.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 261374240 is an apocalyptic number.

61374240 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 61374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

61374240 is an abundant number, since it is smaller than the sum of its proper divisors (153450720).

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

61374240 is a wasteful number, since it uses less digits than its factorization.

61374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 61374240 is about 7834.1713026969. The cubic root of 61374240 is about 394.4531020310.

The spelling of 61374240 in words is "sixty-one million, three hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 14207 28414 42621 56828 71035 85242 113656 127863 142070 170484 213105 227312 255726 284140 340968 383589 426210 454624 511452 568280 639315 681936 767178 852420 1022904 1136560 1278630 1363872 1534356 1704840 1917945 2045808 2273120 2557260 3068712 3409680 3835890 4091616 5114520 6137424 6819360 7671780 10229040 12274848 15343560 20458080 30687120 61374240