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61420240 = 2457671637
BaseRepresentation
bin1110101001001…
…1001011010000
311021120110201201
43222103023100
5111210421430
610032240544
71344030520
oct352231320
9137513651
1061420240
1131740a32
12186a0154
13c95654b
14822b680
1555d38ca
hex3a932d0

61420240 has 80 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 20731392.

The previous prime is 61420237. The next prime is 61420243. The reversal of 61420240 is 4202416.

It is an interprime number because it is at equal distance from previous prime (61420237) and next prime (61420243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61420243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36702 + ... + 38338.

Almost surely, 261420240 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 61420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

61420240 is an abundant number, since it is smaller than the sum of its proper divisors (104319152).

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

61420240 is a wasteful number, since it uses less digits than its factorization.

61420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 61420240 is about 7837.1066089470. The cubic root of 61420240 is about 394.5516249694.

Adding to 61420240 its reverse (4202416), we get a palindrome (65622656).

The spelling of 61420240 in words is "sixty-one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1637 1876 2345 2680 3274 3752 4690 5360 6548 7504 8185 9380 11459 13096 16370 18760 22918 26192 32740 37520 45836 57295 65480 91672 109679 114590 130960 183344 219358 229180 438716 458360 548395 767753 877432 916720 1096790 1535506 1754864 2193580 3071012 3838765 4387160 6142024 7677530 8774320 12284048 15355060 30710120 61420240