Search a number
-
+
20747070 = 2335431787
BaseRepresentation
bin100111100100…
…1001100111110
31110001001122000
41033021030332
520302401240
62020403130
7341230041
oct117111476
943031560
1020747070
1110790643
126b464a6
1343b5496
142a80c58
151c4c430
hex13c933e

20747070 has 64 divisors (see below), whose sum is σ = 56643840. Its totient is φ = 5400864.

The previous prime is 20747063. The next prime is 20747071. The reversal of 20747070 is 7074702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20747071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10717 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (885060).

Almost surely, 220747070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20747070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28321920).

20747070 is an abundant number, since it is smaller than the sum of its proper divisors (35896770).

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

20747070 is a wasteful number, since it uses less digits than its factorization.

20747070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 20747070 is about 4554.8951689364. The cubic root of 20747070 is about 274.7802983530.

The spelling of 20747070 in words is "twenty million, seven hundred forty-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1787 1935 2322 3574 3870 5361 5805 8935 10722 11610 16083 17870 26805 32166 48249 53610 76841 80415 96498 153682 160830 230523 241245 384205 461046 482490 691569 768410 1152615 1383138 2074707 2305230 3457845 4149414 6915690 10373535 20747070