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61402000 = 2453112791
BaseRepresentation
bin1110101000111…
…0101110010000
311021112112201011
43222032232100
5111204331000
610032020304
71343623402
oct352165620
9137475634
1061402000
1131729260
1218691694
13c94b15a
148224b72
1555cd2ba
hex3a8eb90

61402000 has 80 divisors (see below), whose sum is σ = 162025344. Its totient is φ = 22320000.

The previous prime is 61401983. The next prime is 61402001. The reversal of 61402000 is 20416.

61402000 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 (80).

It is not an unprimeable number, because it can be changed into a prime (61402001) 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, 20605 + ... + 23395.

Almost surely, 261402000 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 61402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012672).

61402000 is an abundant number, since it is smaller than the sum of its proper divisors (100623344).

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

61402000 is a wasteful number, since it uses less digits than its factorization.

61402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 61402000 is about 7835.9428277649. The cubic root of 61402000 is about 394.5125643701.

Adding to 61402000 its reverse (20416), we get a palindrome (61422416).

The spelling of 61402000 in words is "sixty-one million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 2791 4400 5500 5582 11000 11164 13955 22000 22328 27910 30701 44656 55820 61402 69775 111640 122804 139550 153505 223280 245608 279100 307010 348875 491216 558200 614020 697750 767525 1116400 1228040 1395500 1535050 2456080 2791000 3070100 3837625 5582000 6140200 7675250 12280400 15350500 30701000 61402000