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10019840 = 210519103
BaseRepresentation
bin100110001110…
…010000000000
3200212001122012
4212032100000
510031113330
6554432052
7151111235
oct46162000
920761565
1010019840
115724066
123432628
1320ca8cc
14148b78c
15d2dc95
hex98e400

10019840 has 88 divisors (see below), whose sum is σ = 25546560. Its totient is φ = 3760128.

The previous prime is 10019839. The next prime is 10019909. The reversal of 10019840 is 4891001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97229 + ... + 97331.

Almost surely, 210019840 is an apocalyptic number.

10019840 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 10019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773280).

10019840 is an abundant number, since it is smaller than the sum of its proper divisors (15526720).

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

10019840 is a wasteful number, since it uses less digits than its factorization.

10019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10019840 is about 3165.4130852070. The cubic root of 10019840 is about 215.5858548277.

The spelling of 10019840 in words is "ten million, nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 103 128 152 160 190 206 256 304 320 380 412 512 515 608 640 760 824 1024 1030 1216 1280 1520 1648 1957 2060 2432 2560 3040 3296 3914 4120 4864 5120 6080 6592 7828 8240 9728 9785 12160 13184 15656 16480 19456 19570 24320 26368 31312 32960 39140 48640 52736 62624 65920 78280 97280 105472 125248 131840 156560 250496 263680 313120 500992 527360 626240 1001984 1252480 2003968 2504960 5009920 10019840