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67239942 = 237112101131
BaseRepresentation
bin1000000001000…
…00000000000110
311200112010212020
410000200000012
5114203134232
610401104010
71444346550
oct400400006
9150463766
1067239942
1134a56400
121a628006
1310c13463
148d044d0
155d82e2c
hex4020006

67239942 has 96 divisors (see below), whose sum is σ = 171908352. Its totient is φ = 17160000.

The previous prime is 67239937. The next prime is 67239967. The reversal of 67239942 is 24993276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67239894 and 67239903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513217 + ... + 513347.

It is an arithmetic number, because the mean of its divisors is an integer number (1790712).

Almost surely, 267239942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67239942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85954176).

67239942 is an abundant number, since it is smaller than the sum of its proper divisors (104668410).

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

67239942 is a wasteful number, since it uses less digits than its factorization.

67239942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 67239942 is about 8199.9964634139. The cubic root of 67239942 is about 406.6390761836.

The spelling of 67239942 in words is "sixty-seven million, two hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 121 131 154 202 231 242 262 303 363 393 462 606 707 726 786 847 917 1111 1414 1441 1694 1834 2121 2222 2541 2751 2882 3333 4242 4323 5082 5502 6666 7777 8646 10087 12221 13231 15554 15851 20174 23331 24442 26462 30261 31702 36663 39693 46662 47553 60522 73326 79386 85547 92617 95106 110957 145541 171094 185234 221914 256641 277851 291082 332871 436623 513282 555702 665742 873246 1018787 1600951 2037574 3056361 3201902 4802853 6112722 9605706 11206657 22413314 33619971 67239942