Search a number
-
+
61377640 = 2352935237
BaseRepresentation
bin1110101000100…
…0110001101000
311021111022021221
43222020301220
5111203041030
610031311424
71343462362
oct352106150
9137438257
1061377640
1131711a25
121867b574
13c94003c
148219d32
1555c5e7a
hex3a88c68

61377640 has 32 divisors (see below), whose sum is σ = 138597480. Its totient is φ = 24462592.

The previous prime is 61377637. The next prime is 61377653. The reversal of 61377640 is 4677316.

It can be written as a sum of positive squares in 4 ways, for example, as 61371556 + 6084 = 7834^2 + 78^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61377596 and 61377605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9102 + ... + 14338.

Almost surely, 261377640 is an apocalyptic number.

It is an amenable number.

61377640 is an abundant number, since it is smaller than the sum of its proper divisors (77219840).

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

61377640 is a wasteful number, since it uses less digits than its factorization.

61377640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 61377640 is about 7834.3882977550. The cubic root of 61377640 is about 394.4603858458.

The spelling of 61377640 in words is "sixty-one million, three hundred seventy-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 5237 5860 10474 11720 20948 26185 41896 52370 104740 209480 1534441 3068882 6137764 7672205 12275528 15344410 30688820 61377640