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20739240 = 2334537173
BaseRepresentation
bin100111100011…
…1010010101000
31110000122220000
41033013102220
520302123430
62020303000
7341165154
oct117072250
943018800
1020739240
1110785775
126b41a60
1343b1a52
142a7c064
151c49e60
hex13c74a8

20739240 has 160 divisors (see below), whose sum is σ = 72004680. Its totient is φ = 5349888.

The previous prime is 20739233. The next prime is 20739253. The reversal of 20739240 is 4293702.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 324 = 4554^2 + 18^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119794 + ... + 119966.

Almost surely, 220739240 is an apocalyptic number.

20739240 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 20739240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36002340).

20739240 is an abundant number, since it is smaller than the sum of its proper divisors (51265440).

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

20739240 is a wasteful number, since it uses less digits than its factorization.

20739240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20739240 is about 4554.0355729836. The cubic root of 20739240 is about 274.7457263956.

The spelling of 20739240 in words is "twenty million, seven hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 173 180 185 216 222 270 296 324 333 346 360 370 405 444 519 540 555 648 666 692 740 810 865 888 999 1038 1080 1110 1332 1384 1480 1557 1620 1665 1730 1998 2076 2220 2595 2664 2997 3114 3240 3330 3460 3996 4152 4440 4671 4995 5190 5994 6228 6401 6660 6920 7785 7992 9342 9990 10380 11988 12456 12802 13320 14013 14985 15570 18684 19203 19980 20760 23355 23976 25604 28026 29970 31140 32005 37368 38406 39960 46710 51208 56052 57609 59940 62280 64010 70065 76812 93420 96015 112104 115218 119880 128020 140130 153624 172827 186840 192030 230436 256040 280260 288045 345654 384060 460872 518481 560520 576090 691308 768120 864135 1036962 1152180 1382616 1728270 2073924 2304360 2592405 3456540 4147848 5184810 6913080 10369620 20739240