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20970240 = 283543127
BaseRepresentation
bin100111111111…
…1101100000000
31110110101202120
41033333230000
520332021430
62025244240
7343146504
oct117775400
943411676
1020970240
1110923285
127033680
134462c35
142adc304
151c93610
hex13ffb00

20970240 has 144 divisors (see below), whose sum is σ = 69070848. Its totient is φ = 5419008.

The previous prime is 20970223. The next prime is 20970247. The reversal of 20970240 is 4207902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20970240.

It is not an unprimeable number, because it can be changed into a prime (20970247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165057 + ... + 165183.

Almost surely, 220970240 is an apocalyptic number.

20970240 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 20970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34535424).

20970240 is an abundant number, since it is smaller than the sum of its proper divisors (48100608).

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

20970240 is a wasteful number, since it uses less digits than its factorization.

20970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20970240 is about 4579.3274615384. The cubic root of 20970240 is about 275.7620297029.

The spelling of 20970240 in words is "twenty million, nine hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 127 128 129 160 172 192 215 240 254 256 258 320 344 381 384 430 480 508 516 635 640 645 688 762 768 860 960 1016 1032 1270 1280 1290 1376 1524 1720 1905 1920 2032 2064 2540 2580 2752 3048 3440 3810 3840 4064 4128 5080 5160 5461 5504 6096 6880 7620 8128 8256 10160 10320 10922 11008 12192 13760 15240 16256 16383 16512 20320 20640 21844 24384 27305 27520 30480 32512 32766 33024 40640 41280 43688 48768 54610 55040 60960 65532 81280 81915 82560 87376 97536 109220 121920 131064 162560 163830 165120 174752 218440 243840 262128 327660 349504 436880 487680 524256 655320 699008 873760 1048512 1310640 1398016 1747520 2097024 2621280 3495040 4194048 5242560 6990080 10485120 20970240