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20730034740 = 2235191271311093
BaseRepresentation
bin10011010011100110…
…110011101000110100
31222111201012212122110
4103103212303220310
5314423342102430
613305004331020
71332465250032
oct232346635064
958451185573
1020730034740
118878622a18
124026543a70
131c54a01a5c
14100923b552
15814dc27b0
hex4d39b3a34

20730034740 has 192 divisors, whose sum is σ = 62106992640. Its totient is φ = 5151444480.

The previous prime is 20730034697. The next prime is 20730034763. The reversal of 20730034740 is 4743003702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20730034698 and 20730034707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18965634 + ... + 18966726.

It is an arithmetic number, because the mean of its divisors is an integer number (323473920).

Almost surely, 220730034740 is an apocalyptic number.

20730034740 is a gapful number since it is divisible by the number (20) 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 20730034740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053496320).

20730034740 is an abundant number, since it is smaller than the sum of its proper divisors (41376957900).

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

20730034740 is a wasteful number, since it uses less digits than its factorization.

20730034740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The spelling of 20730034740 in words is "twenty billion, seven hundred thirty million, thirty-four thousand, seven hundred forty".