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19907820 = 22325195821
BaseRepresentation
bin100101111110…
…0010011101100
31101110102101200
41023330103230
520044022240
61550405500
7331133202
oct113742354
941412350
1019907820
1110268049
126800890
13418049a
142903072
151b33930
hex12fc4ec

19907820 has 72 divisors (see below), whose sum is σ = 63576240. Its totient is φ = 5028480.

The previous prime is 19907819. The next prime is 19907831. The reversal of 19907820 is 2870991.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 510 + ... + 6330.

Almost surely, 219907820 is an apocalyptic number.

19907820 is a gapful number since it is divisible by the number (10) 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 19907820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31788120).

19907820 is an abundant number, since it is smaller than the sum of its proper divisors (43668420).

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

19907820 is a wasteful number, since it uses less digits than its factorization.

19907820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5850 counting only the distinct ones).

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

The square root of 19907820 is about 4461.8180151145. The cubic root of 19907820 is about 271.0240942980.

The spelling of 19907820 in words is "nineteen million, nine hundred seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 5821 11642 17463 23284 29105 34926 52389 58210 69852 87315 104778 110599 116420 174630 209556 221198 261945 331797 349260 442396 523890 552995 663594 995391 1047780 1105990 1327188 1658985 1990782 2211980 3317970 3981564 4976955 6635940 9953910 19907820