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61371640 = 235111011381
BaseRepresentation
bin1110101000011…
…1010011111000
311021111000001201
43222013103320
5111202343030
610031223544
71343436031
oct352072370
9137430051
1061371640
1131708470
1218677bb4
13c93a3a5
148217a88
1555c42ca
hex3a874f8

61371640 has 64 divisors (see below), whose sum is σ = 152241120. Its totient is φ = 22080000.

The previous prime is 61371637. The next prime is 61371647. The reversal of 61371640 is 4617316.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61371599 and 61371608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61371647) 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, 43750 + ... + 45130.

Almost surely, 261371640 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 61371640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76120560).

61371640 is an abundant number, since it is smaller than the sum of its proper divisors (90869480).

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

61371640 is a wasteful number, since it uses less digits than its factorization.

61371640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 61371640 is about 7834.0053612440. The cubic root of 61371640 is about 394.4475318735.

Adding to 61371640 its reverse (4617316), we get a palindrome (65988956).

It can be divided in two parts, 6137 and 1640, that added together give a palindrome (7777).

The spelling of 61371640 in words is "sixty-one million, three hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 1381 2020 2222 2762 4040 4444 5524 5555 6905 8888 11048 11110 13810 15191 22220 27620 30382 44440 55240 60764 75955 121528 139481 151910 278962 303820 557924 607640 697405 1115848 1394810 1534291 2789620 3068582 5579240 6137164 7671455 12274328 15342910 30685820 61371640