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130069940 = 225711137389
BaseRepresentation
bin1111100000010…
…11010110110100
3100001202020102012
413300023112310
5231244214230
620523503352
73136401440
oct760132664
9301666365
10130069940
116746a520
1237687b58
1320c41580
14133bb820
15b644395
hex7c0b5b4

130069940 has 192 divisors, whose sum is σ = 375943680. Its totient is φ = 36495360.

The previous prime is 130069937. The next prime is 130069943. The reversal of 130069940 is 49960031.

It is an interprime number because it is at equal distance from previous prime (130069937) and next prime (130069943).

It is a junction number, because it is equal to n+sod(n) for n = 130069897 and 130069906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130069943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1461416 + ... + 1461504.

It is an arithmetic number, because the mean of its divisors is an integer number (1958040).

Almost surely, 2130069940 is an apocalyptic number.

130069940 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 130069940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

130069940 is an abundant number, since it is smaller than the sum of its proper divisors (245873740).

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

130069940 is a wasteful number, since it uses less digits than its factorization.

130069940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 130069940 is about 11404.8209104747. The cubic root of 130069940 is about 506.6705322497.

The spelling of 130069940 in words is "one hundred thirty million, sixty-nine thousand, nine hundred forty".