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61421040 = 24325233709
BaseRepresentation
bin1110101001001…
…1010111110000
311021120111211100
43222103113300
5111210433130
610032244400
71344033042
oct352232760
9137514740
1061421040
113174159a
12186a0700
13c956a15
14822ba92
1555d3c60
hex3a935f0

61421040 has 120 divisors (see below), whose sum is σ = 215298720. Its totient is φ = 15662592.

The previous prime is 61421033. The next prime is 61421047. The reversal of 61421040 is 4012416.

61421040 is a `hidden beast` number, since 614 + 2 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (61421033) and next prime (61421047).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61421047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14706 + ... + 18414.

It is an arithmetic number, because the mean of its divisors is an integer number (1794156).

Almost surely, 261421040 is an apocalyptic number.

61421040 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 61421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107649360).

61421040 is an abundant number, since it is smaller than the sum of its proper divisors (153877680).

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

61421040 is a wasteful number, since it uses less digits than its factorization.

61421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 61421040 is about 7837.1576480252. The cubic root of 61421040 is about 394.5533379765.

Adding to 61421040 its reverse (4012416), we get a palindrome (65433456).

The spelling of 61421040 in words is "sixty-one million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 3709 4140 5520 7418 8280 11127 14836 16560 18545 22254 29672 33381 37090 44508 55635 59344 66762 74180 85307 89016 111270 133524 148360 166905 170614 178032 222540 255921 267048 296720 333810 341228 426535 445080 511842 534096 667620 682456 767763 853070 890160 1023684 1279605 1335240 1364912 1535526 1706140 2047368 2559210 2670480 3071052 3412280 3838815 4094736 5118420 6142104 6824560 7677630 10236840 12284208 15355260 20473680 30710520 61421040