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19908072 = 2333374753
BaseRepresentation
bin100101111110…
…0010111101000
31101110102202000
41023330113220
520044024242
61550411000
7331134012
oct113742750
941412660
1019908072
1110268258
126800a60
134180632
1429031b2
151b33a4c
hex12fc5e8

19908072 has 128 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 6200064.

The previous prime is 19908059. The next prime is 19908101. The reversal of 19908072 is 27080991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375598 + ... + 375650.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 219908072 is an apocalyptic number.

19908072 is a gapful number since it is divisible by the number (12) 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 19908072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

19908072 is an abundant number, since it is smaller than the sum of its proper divisors (39189528).

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

19908072 is a wasteful number, since it uses less digits than its factorization.

19908072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 19908072 is about 4461.8462546350. The cubic root of 19908072 is about 271.0252378651.

The spelling of 19908072 in words is "nineteen million, nine hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 47 53 54 72 74 94 106 108 111 141 148 159 188 212 216 222 282 296 318 333 376 423 424 444 477 564 636 666 846 888 954 999 1128 1269 1272 1332 1431 1692 1739 1908 1961 1998 2491 2538 2664 2862 3384 3478 3816 3922 3996 4982 5076 5217 5724 5883 6956 7473 7844 7992 9964 10152 10434 11448 11766 13912 14946 15651 15688 17649 19928 20868 22419 23532 29892 31302 35298 41736 44838 46953 47064 52947 59784 62604 67257 70596 89676 92167 93906 105894 125208 134514 141192 179352 184334 187812 211788 269028 276501 368668 375624 423576 538056 553002 737336 829503 1106004 1659006 2212008 2488509 3318012 4977018 6636024 9954036 19908072