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1060006620400 = 245271332219041
BaseRepresentation
bin11110110110011010101…
…00010110110011110000
310202100001200110120201021
433123031110112303300
5114331343143323100
62130543232345224
7136403644416130
oct17331524266360
93670050416637
101060006620400
11379601114a62
1215152a0a5214
1378c5c203210
1439439b40ac0
151c88e875a1a
hexf6cd516cf0

1060006620400 has 240 divisors, whose sum is σ = 3135677928768. Its totient is φ = 335333376000.

The previous prime is 1060006620377. The next prime is 1060006620401. The reversal of 1060006620400 is 40266000601.

It is a happy number.

It is a super-2 number, since 2×10600066204002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1060006620401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117239880 + ... + 117248920.

Almost surely, 21060006620400 is an apocalyptic number.

1060006620400 is a gapful number since it is divisible by the number (10) 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 1060006620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567838964384).

1060006620400 is an abundant number, since it is smaller than the sum of its proper divisors (2075671308368).

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

1060006620400 is a wasteful number, since it uses less digits than its factorization.

1060006620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 1060006620400 in words is "one trillion, sixty billion, six million, six hundred twenty thousand, four hundred".