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20166744 = 23313109593
BaseRepresentation
bin100110011101…
…1100001011000
31101221120120110
41030323201120
520130313434
62000124320
7333262113
oct114734130
941846513
1020166744
1110424634
1269066a0
1342412b0
14296d57a
151b854e9
hex133b858

20166744 has 64 divisors (see below), whose sum is σ = 54885600. Its totient is φ = 6137856.

The previous prime is 20166721. The next prime is 20166767. The reversal of 20166744 is 44766102.

It is an interprime number because it is at equal distance from previous prime (20166721) and next prime (20166767).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33712 + ... + 34304.

Almost surely, 220166744 is an apocalyptic number.

20166744 is a gapful number since it is divisible by the number (24) 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 20166744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27442800).

20166744 is an abundant number, since it is smaller than the sum of its proper divisors (34718856).

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

20166744 is a wasteful number, since it uses less digits than its factorization.

20166744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20166744 is about 4490.7398054218. The cubic root of 20166744 is about 272.1940296655.

It can be divided in two parts, 20166 and 744, that added together give a triangular number (20910 = T204).

The spelling of 20166744 in words is "twenty million, one hundred sixty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 218 312 327 436 593 654 872 1186 1308 1417 1779 2372 2616 2834 3558 4251 4744 5668 7116 7709 8502 11336 14232 15418 17004 23127 30836 34008 46254 61672 64637 92508 129274 185016 193911 258548 387822 517096 775644 840281 1551288 1680562 2520843 3361124 5041686 6722248 10083372 20166744