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20370042 = 2347112371
BaseRepresentation
bin100110110110…
…1001001111010
31102022220110000
41031231021322
520203320132
62004333430
7335066610
oct115551172
942286400
1020370042
1110553350
1269a4276
1342b29a4
1429c36b0
151bc587c
hex136d27a

20370042 has 160 divisors (see below), whose sum is σ = 60217344. Its totient is φ = 4989600.

The previous prime is 20370023. The next prime is 20370059. The reversal of 20370042 is 24007302.

It is a happy number.

It is a super-2 number, since 2×203700422 = 829877222163528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20369997 and 20370024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286867 + ... + 286937.

Almost surely, 220370042 is an apocalyptic number.

20370042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20370042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108672).

20370042 is an abundant number, since it is smaller than the sum of its proper divisors (39847302).

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

20370042 is a wasteful number, since it uses less digits than its factorization.

20370042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20370042 is about 4513.3182914570. The cubic root of 20370042 is about 273.1056226969.

Adding to 20370042 its reverse (24007302), we get a palindrome (44377344).

The spelling of 20370042 in words is "twenty million, three hundred seventy thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 71 77 81 99 126 138 142 154 161 162 189 198 207 213 231 253 297 322 378 414 426 462 483 497 506 567 594 621 639 693 759 781 891 966 994 1134 1242 1278 1386 1449 1491 1518 1562 1633 1771 1782 1863 1917 2079 2277 2343 2898 2982 3266 3542 3726 3834 4158 4347 4473 4554 4686 4899 5313 5467 5751 6237 6831 7029 8694 8946 9798 10626 10934 11431 11502 12474 13041 13419 13662 14058 14697 15939 16401 17963 20493 21087 22862 26082 26838 29394 31878 32802 34293 35926 40257 40986 42174 44091 47817 49203 53889 63261 68586 80514 88182 95634 98406 102879 107778 125741 126522 132273 143451 147609 161667 205758 251482 264546 286902 295218 308637 323334 377223 442827 485001 617274 754446 885654 925911 970002 1131669 1455003 1851822 2263338 2910006 3395007 6790014 10185021 20370042