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60400005120 = 2123257132277
BaseRepresentation
bin111000010000000111…
…101111000000000000
312202220101021011121200
4320100013233000000
51442144400130440
643425233421200
74235524400250
oct702007570000
9182811234550
1060400005120
1123685256904
12b857a0a800
1359075a0c00
142ccda59960
151887917c30
hexe101ef000

60400005120 has 936 divisors, whose sum is σ = 260026374816. Its totient is φ = 12697731072.

The previous prime is 60400005119. The next prime is 60400005121. The reversal of 60400005120 is 2150000406.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (60400005119) and next prime (60400005121).

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a junction number, because it is equal to n+sod(n) for n = 60400005093 and 60400005102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60400005121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218050422 + ... + 218050698.

It is an arithmetic number, because the mean of its divisors is an integer number (277805956).

Almost surely, 260400005120 is an apocalyptic number.

60400005120 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 60400005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130013187408).

60400005120 is an abundant number, since it is smaller than the sum of its proper divisors (199626369696).

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

60400005120 is a wasteful number, since it uses less digits than its factorization.

60400005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 60400005120 its reverse (2150000406), we get a palindrome (62550005526).

The spelling of 60400005120 in words is "sixty billion, four hundred million, five thousand, one hundred twenty".