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42209970 = 23511373457
BaseRepresentation
bin1010000100000…
…1001010110010
32221102111012020
42201001022302
541301204340
64104412310
71021531065
oct241011262
987374166
1042209970
112190aa80
1212177096
13898b71a
14586a8dc
153a8b9d0
hex28412b2

42209970 has 64 divisors (see below), whose sum is σ = 113533056. Its totient is φ = 9953280.

The previous prime is 42209897. The next prime is 42209971. The reversal of 42209970 is 7990224.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42209971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10482 + ... + 13938.

It is an arithmetic number, because the mean of its divisors is an integer number (1773954).

Almost surely, 242209970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42209970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766528).

42209970 is an abundant number, since it is smaller than the sum of its proper divisors (71323086).

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

42209970 is a wasteful number, since it uses less digits than its factorization.

42209970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 42209970 is about 6496.9200395264. The cubic root of 42209970 is about 348.1809568852.

It can be divided in two parts, 42 and 209970, that added together give a palindrome (210012).

The spelling of 42209970 in words is "forty-two million, two hundred nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 3457 4070 6105 6914 10371 12210 17285 20742 34570 38027 51855 76054 103710 114081 127909 190135 228162 255818 380270 383727 570405 639545 767454 1140810 1279090 1406999 1918635 2813998 3837270 4220997 7034995 8441994 14069990 21104985 42209970