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20364720 = 2435531601
BaseRepresentation
bin100110110101…
…1110110110000
31102022122010220
41031223312300
520203132340
62004253040
7335045235
oct115536660
942278126
1020364720
111054a352
1269a1180
1342b043c
1429c178c
151bc3ed0
hex136bdb0

20364720 has 80 divisors (see below), whose sum is σ = 64361952. Its totient is φ = 5324800.

The previous prime is 20364709. The next prime is 20364739. The reversal of 20364720 is 2746302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11920 + ... + 13520.

Almost surely, 220364720 is an apocalyptic number.

20364720 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 20364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32180976).

20364720 is an abundant number, since it is smaller than the sum of its proper divisors (43997232).

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

20364720 is a wasteful number, since it uses less digits than its factorization.

20364720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20364720 is about 4512.7286645665. The cubic root of 20364720 is about 273.0818362180.

The spelling of 20364720 in words is "twenty million, three hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 1601 2120 2544 3180 3202 4240 4803 6360 6404 8005 9606 12720 12808 16010 19212 24015 25616 32020 38424 48030 64040 76848 84853 96060 128080 169706 192120 254559 339412 384240 424265 509118 678824 848530 1018236 1272795 1357648 1697060 2036472 2545590 3394120 4072944 5091180 6788240 10182360 20364720